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# The real world : Elite b-school vs XYZ b-school

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The real world : Elite b-school vs XYZ b-school [#permalink]  21 Apr 2012, 09:46
I wonder how grads from top b-schools interact with grads from the lesser-known schools in the real world. Will grads from the lesser-known school be "bullied" by grads from the higher-ranked / elite schools? And when it comes to promotion and job responsibilities, will grads from the lesser-known school be passed over, and discriminated against? I am just wondering how the branding of the school will have an impact on the career trajectory of an MBA grad, assuming that both can perform equally well at work on the same job. Can someone help shed some light on this point?

Well, I am asking this question bc I have been accepted by a top 10 b-school and also have an admit to another program, which comes in at a much lower ranking (top 30 within the US) on the U.S news charts. As I am unable to afford the cost of attending the elite school, I now have to consider whether to accept the offer at the lower-ranked program or reapply in the new cycle this fall to other schools. While I have no doubts about the quality of education that I can get from the lower-ranked school, I am concerned about my career growth coming out of the program, especially in a highly competitive job market with grads from top-ranked school snagging the top positions in an organization. Will it be worth it to take the plunge, invest 2 years of my life and all my savings in the lower-ranked program, OR should I hold my horses and reapply to better schools?

I am approaching 35 (yes, I know I am very old), and have reasonable test scores (75th percentile). Given the right environment, I am sure I can improve my test scores tremendously but I will only be able to do so only if I shift out of my parent's house as they fight everyday, making it almost impossible for me to concentrate on my test preparation. I have a 3.5 GPA and graduated top of my class in college.
Given my personal situation, should I therefore grab the opportunity that the lower-ranked school has presented to me, or drop the offer and consider other alternatives ? I am not considering any EMBAs as I don't think I will be able to have the same experience that I can get from a full-time on-campus program.

Grateful for all comments to some / all of the points raised above. Thanks everyone.
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Re: The real world : Elite b-school vs XYZ b-school [#permalink]  21 Apr 2012, 10:55
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Last edited by RG0105 on 26 Aug 2012, 14:40, edited 1 time in total.
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Re: The real world : Elite b-school vs XYZ b-school [#permalink]  21 Apr 2012, 11:19
Did you get $from the top 30 school? Are loans not an option? Consider the next 25 years after graduation. Senior Manager Joined: 26 Mar 2011 Posts: 284 Concentration: Finance Schools: UCLA (Anderson) - Class of 2014 GMAT 1: Q V Followers: 19 Kudos [?]: 75 [2] , given: 12 Re: The real world : Elite b-school vs XYZ b-school [#permalink] 21 Apr 2012, 12:04 2 This post received KUDOS If you're 35 and have an acceptance to a top 10 Full time MBA, I wouldn't risk waiting another year in hopes of reapplying and getting accepted with scholarship or something like that. Especially at your age, the odds of you getting referred to a school's EMBA program go up every year. Posted from GMAT ToolKit Intern Joined: 21 Apr 2012 Posts: 5 Followers: 1 Kudos [?]: 3 [0], given: 7 Re: The real world : Elite b-school vs XYZ b-school [#permalink] 21 Apr 2012, 20:32 @ RG0105 : Yes, I've heard that the school I attend will not matter 2-3 years into my post-MBA career. It's my achievements during those years that are going to make a difference on whether I end up on the path to a senior management position or down the slippery road as an office boy. I haven't had the opportunity to work in an environment with grads who hail from diverse b-schools. I believe I am not the only one out there who has similar concerns about being viewed less positively in the workplace as a grad from a lower ranked school than a co-worker who comes in with a H/S/W brand on his resume. I hope to hear from more people in the GMAT community @ whitie8lax : I got$20k scholarship from the top-30 school. And I am waiting for news for more scholarship $from the same school, with the possibility of getting a full ride + living expenses for both years. If so, the opportunity cost of attending the top-30 school will definitely be much, much lower, which will then make it less tough a decision to matriculate. (And thus relieves me of the pressure of looking for a well-paying job coming out of b-school and allows me to really focus on what I really want in my career. ). I informed the top-10 school that I will not be able to attend their program, but my request for some financial aid to close the gap in my finances was turned down. No$ - which is a sign that my current profile is not one that is particularly valuable to them. While I admit that I don't have a particularly sexy profile (aka investment banker / consultant from MBB / entrepreneur ), I believe that I am capable of achieving a lot more given the right opportunities and mentor. And I am determined to prove all my naysayers wrong, by making a real, powerful impact in the school that I eventually attend.

@ ebonn101 - Well, I am turning 33 this year. I agree with you that the risks of getting rejected by the Adcom are so much higher, notwithstanding what the schools say about no age discrimination and what not. But I also know that there are older applicants who managed to get into a top-10 program, by writing persuasive essays to justify why they want to go into a full-time MBA program. I applied to a top-15 school and was referred to their EMBA program even before the results for my FT MBA application was out - hence, I know that many schools are desperate to fill their EMBA classes too. But at 33 with only 7 years work experience to my credit, I am in an awkward situation - a tad too old for FT MBA but too young for EMBA programs. Since most people only do their MBA once, should I work on improving my profile (GMAT, extracurriculars, and get the promotion at work) and reapply next year? It has always been my dream to study at a top-10 school (e.g. Cornell Johnson, Yale, Columbia, NYU Stern, Dartmouth Tuck). I like the top-30 school too (else I wouldn't have applied ; it was not my safety school - I even stayed up till 4am in the morning to do my interview as I was in a different city then.)

Appreciate more views, GMAT folks. I am in a real dilemma. Thanks in advance.
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Re: The real world : Elite b-school vs XYZ b-school [#permalink]  22 Apr 2012, 18:57
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To me, there's no question the prestige of someone's degrees has a strong initial signaling effect, but that's just a starting point. Ultimately, a person is not a piece of paper, and if you ever find yourself in a culture that believes such a thing, maybe that's not a great place to be.
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Re: The real world : Elite b-school vs XYZ b-school [#permalink]  22 Apr 2012, 20:41
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I'll give my take by hitting various points you made.

Will being older hurt you for certain jobs?
Depends on if you want to change your complete career track. Usually not if you are trying to stay in the same area.

This is a question that probably will affect law school grads in your age more than younger law school applicants (vast majority are either in college or no older than 25 and with no more than 2-3 years WE). The NLJ Top 250 firms generally only want to hire younger associates from elite schools who can handle the 80 hour work weeks with minimal familial interruption, though some top students at lower schools get in here too. Older law applicants usually apply their degree in a related field pre-JD. For example many law students with big science backgrounds and considerable quality scientific WE can find offers as patent/IP lawyers.

For MBA's, I'd imagine that investment banking may be like this too, but I'm not interested in this field at all, so maybe someone else could chime in on this.

Elite school or a Top 30?
A top 30 school will still have great regional prospects and if it's in a major city's area, your job prospects will look good post MBA. Again, if you're trying to get into something completely new, then yes, generally speaking, the better the school, the better the prospects you have. Ultimately, grad school and college is what you make of it.

Will you be passed over for guys who went to better schools than you as an employee?
I'll say it like this. My college degree from William and Mary certainly helped me get some job offers over some other guys who didn't go to schools as good as mine. But that really only helps me for my first job, and perhaps I may get into a better b school program over some others with a similar GPA because W&M is a Public Ivy and holds good clout in the Washington area though I'm not so sure outside of the east coast.

However now after six years of WE and with me hitting the age of 28, my college degree is not going to impress any prospective employer by itself, and they want to see what qualities I bring to my employer now instead. I can't flaunt my college degree at this point in time anymore in the DC area because it isn't giving me any promotions, etc. I have to beat out the other guys with my merit, regardless of whether they're from a school as good as W&M like UVA, a school clearly better than W&M like Georgetown or Hopkins, or one of the local/regional schools like George Mason, VCU, or James Madison, all schools that produce some pretty successful guys in the local area too. A degree, any degree gives me a foot in the door for some opportunities sooner and lets you apply for some better opportunities that you can't without it. But yes, the returns for a degree because of the school name diminish the further and further away you are from graduation. I certainly see that with my college degree.

Closing thoughts
I think you should go to the school that's best for you now, considering your age is "entering" executive MBA territory. The elite school (ie - Kellogg/Wharton/Stanford) gives you the most open doors and may get you something you like sooner. The top 30 program (Georgetown/Vandy), especially if it's in an area where you'd like to work is not a bad deal either. You'll be fine if you put your time into business school and into the areas you'd like to work in, and in particular if it's not too far off from your current line of work. Good luck!
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Re: The real world : Elite b-school vs XYZ b-school [#permalink]  23 Apr 2012, 03:40
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novanative wrote:
I'll give my take by hitting various points you made.

Will being older hurt you for certain jobs?
Depends on if you want to change your complete career track. Usually not if you are trying to stay in the same area.

This is a question that probably will affect law school grads in your age more than younger law school applicants (vast majority are either in college or no older than 25 and with no more than 2-3 years WE). The NLJ Top 250 firms generally only want to hire younger associates from elite schools who can handle the 80 hour work weeks with minimal familial interruption, though some top students at lower schools get in here too. Older law applicants usually apply their degree in a related field pre-JD. For example many law students with big science backgrounds and considerable quality scientific WE can find offers as patent/IP lawyers.

For MBA's, I'd imagine that investment banking may be like this too, but I'm not interested in this field at all, so maybe someone else could chime in on this.

Elite school or a Top 30?
A top 30 school will still have great regional prospects and if it's in a major city's area, your job prospects will look good post MBA. Again, if you're trying to get into something completely new, then yes, generally speaking, the better the school, the better the prospects you have. Ultimately, grad school and college is what you make of it.

Will you be passed over for guys who went to better schools than you as an employee?
I'll say it like this. My college degree from William and Mary certainly helped me get some job offers over some other guys who didn't go to schools as good as mine. But that really only helps me for my first job, and perhaps I may get into a better b school program over some others with a similar GPA because W&M is a Public Ivy and holds good clout in the Washington area though I'm not so sure outside of the east coast.

However now after six years of WE and with me hitting the age of 28, my college degree is not going to impress any prospective employer by itself, and they want to see what qualities I bring to my employer now instead. I can't flaunt my college degree at this point in time anymore in the DC area because it isn't giving me any promotions, etc. I have to beat out the other guys with my merit, regardless of whether they're from a school as good as W&M like UVA, a school clearly better than W&M like Georgetown or Hopkins, or one of the local/regional schools like George Mason, VCU, or James Madison, all schools that produce some pretty successful guys in the local area too. A degree, any degree gives me a foot in the door for some opportunities sooner and lets you apply for some better opportunities that you can't without it. But yes, the returns for a degree because of the school name diminish the further and further away you are from graduation. I certainly see that with my college degree.

Closing thoughts
I think you should go to the school that's best for you now, considering your age is "entering" executive MBA territory. The elite school (ie - Kellogg/Wharton/Stanford) gives you the most open doors and may get you something you like sooner. The top 30 program (Georgetown/Vandy), especially if it's in an area where you'd like to work is not a bad deal either. You'll be fine if you put your time into business school and into the areas you'd like to work in, and in particular if it's not too far off from your current line of work. Good luck!

Good post.

Also thought I should say what's up and give a shoutout to a W&M grad. I grew up in CT and NY, but have a bunch of family down around DC and Virginia, and my grandfather went to W&M, and always had amazing things to say about it. Would have applied myself, and likely would have gone, if I hadn't gotten lucky and got into Hopkins ED. W&M had the nicest campus I've ever seen, without a doubt. Most of the B schools I'm applying to are in the DC area as well, seems as you're the same way. Love the area, it's a great place.

Again, nice insights with that post.
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Re: The real world : Elite b-school vs XYZ b-school [#permalink]  23 Apr 2012, 09:20
novanative wrote:
I have to beat out the other guys with my merit, regardless of whether they're from a school as good as W&M like UVA, a school clearly better than W&M like Georgetown or Hopkins,

I'm sorry but I have to call you out on this,....in what world is W&M considered "as good" as UVA? If UVA isn't clearly the better school (which i think it is), then it definitely has the more prestigious reputation. I live in the DC area so I know that usually in-state kids that get dinged from UVA go to W&M or VTech, thats common knowledge. I didn't attend either one so I have no skin in the game. Also, UVA is better than Georgetown IMO, I would say Hopkins is in league w/ UVA but its hard to compare because they don't have many similarities. Don't get me wrong, W&M is a fine school, but the above smacks a bit of W&M trolling. And as far as "public ivies",....there are about 10 different versions with different schools on them,.....but there are really only three undisputed "public ivies",....Berkeley, Michigan, and UVA. Those three are on par w/ the very best private schools.

And to the OP: I concur w/ most of the other posters,..MBA prestige will only get you that first job,..beyond that you proceed based on merit. Nobody cares where you went as long as you're making them money. That being said, don't underestimate how much easier it is to get a job (one that you like) at a T10 vs a T30. The difference can be enormous.
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Re: The real world : Elite b-school vs XYZ b-school [#permalink]  23 Apr 2012, 09:27
I've heard that it usually doesn't matter in terms of elitism where you went to b-school, unless you work at a truly cutthroat place. My best friend's brother in law did some consulting work at Goldman Sachs. He went to Carnegie Melon for his MBA, and he told me that initially people looked down on him for not going to a more prestigious school. However, as he was very good at his job, he grudgingly gained the acceptance of other people. In the end, however, he felt it was a toxic work environment based on several factors and wound up quitting his job at GS.
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Re: The real world : Elite b-school vs XYZ b-school [#permalink]  23 Apr 2012, 09:49
If the cost differential is a 20k scholarship at top30 vs. top 10 I would go with top 10.

Did you check the employment reports of the top30 vs. top10, i bet the average starting salaries already show a ~20k difference between the two not to mention the different caliber of employers.

I feel the brand and the stronger recruiting presence a top 10 offers more than offsets the additional cost imo (20k scholarship if all else equal).

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Re: The real world : Elite b-school vs XYZ b-school [#permalink]  23 Apr 2012, 09:58
I've heard that it usually doesn't matter in terms of elitism where you went to b-school, unless you work at a truly cutthroat place. My best friend's brother in law did some consulting work at Goldman Sachs. He went to Carnegie Melon for his MBA, and he told me that initially people looked down on him for not going to a more prestigious school. However, as he was very good at his job, he grudgingly gained the acceptance of other people. In the end, however, he felt it was a toxic work environment based on several factors and wound up quitting his job at GS.

While some top tier consulting/VCs do have decent reasoning behind their choosiness, your Goldman Sachs example is a perfect one for proving how ridiculous the system is.

A company like GS should be a little more aware of who they look down upon, considering Tepper consistently has some of the most quant-skilled people in the world attending each year. And I think they're, what, second only to MIT in anything tech-oriented?

Obviously the line could be drawn somewhere, but especially when talking about a top 5-10 vs top 30 kind of choice, I think it's somewhat absurd.
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Re: The real world : Elite b-school vs XYZ b-school [#permalink]  23 Apr 2012, 09:59
pze wrote:
I'm sorry but I have to call you out on this,....in what world is W&M considered "as good" as UVA? If UVA isn't clearly the better school (which i think it is), then it definitely has the more prestigious reputation. I live in the DC area so I know that usually in-state kids that get dinged from UVA go to W&M or VTech, thats common knowledge. I didn't attend either one so I have no skin in the game. Also, UVA is better than Georgetown IMO, I would say Hopkins is in league w/ UVA but its hard to compare because they don't have many similarities. Don't get me wrong, W&M is a fine school, but the above smacks a bit of W&M trolling. And as far as "public ivies",....there are about 10 different versions with different schools on them,.....but there are really only three undisputed "public ivies",....Berkeley, Michigan, and UVA. Those three are on par w/ the very best private schools.

Yes, there was a bit of school homerism there, I think W&M does have a bit of that in them, including me. By school rep, I was referring to moreso in terms of undergraduate reputation, not as a full university where UVA of course takes the cake. There are a good number of UVA students who were dinged at W&M for college in-state and out, and vice versa as you said, no VA high school student will call W&M a safety for UVA, and vice versa in most cases. Pretty darn close stats and considerable applicant overlap.

W&M is one of the "original public ivies" according to one publication by Moll which is where I believe where this all started from. But yes, I'll give you that there seem to be more schools in recent years trying to lay claim to it.
http://en.wikipedia.org/wiki/Public_Ivy ... blic_Ivies

****

But the essence of that post wasn't to spark vitriol and I apologize if it did. I didn't mean to show too much school pride, or to take a shot at UVA undergrad alums who are on here and there have to be many. It was meant to say that my school's name helped me get some opportunities right after college and I'm happy that it did, and that may have helped many of us on this forum. However, it is just an opportunity. It's up to me at the end of the day to show what I can do, and all of us to show that, and that is what is going to help our careers in the long run. Business school prestige like any other grad school's prestige, can help us get a better shot at that first job post MBA (maybe even 2nd). But we have to work hard at it from there, or someone else will take our spots. Hope that helps.

Last edited by novanative on 23 Apr 2012, 10:45, edited 1 time in total.
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Re: The real world : Elite b-school vs XYZ b-school [#permalink]  23 Apr 2012, 10:43
novanative wrote:
pze wrote:
I'm sorry but I have to call you out on this,....in what world is W&M considered "as good" as UVA? If UVA isn't clearly the better school (which i think it is), then it definitely has the more prestigious reputation. I live in the DC area so I know that usually in-state kids that get dinged from UVA go to W&M or VTech, thats common knowledge. I didn't attend either one so I have no skin in the game. Also, UVA is better than Georgetown IMO, I would say Hopkins is in league w/ UVA but its hard to compare because they don't have many similarities. Don't get me wrong, W&M is a fine school, but the above smacks a bit of W&M trolling. And as far as "public ivies",....there are about 10 different versions with different schools on them,.....but there are really only three undisputed "public ivies",....Berkeley, Michigan, and UVA. Those three are on par w/ the very best private schools.

Yes, there was a bit of school homerism there, I think W&M does have a bit of that in them, including me. By school rep, I was referring to moreso in terms of undergraduate reputation, not as a full university where UVA of course takes the cake. There are a good number of UVA students who were dinged at W&M for college in-state and out, and vice versa as you said, no VA high school student will call W&M a safety for UVA, and vice versa in most cases. Pretty darn close stats and applicant overlap.

W&M is one of the "original public ivies" according to one publication by Moll which is where I believe where this all started from. But yes, I'll give you that there seem to be more schools in recent years trying to lay claim to it.
http://en.wikipedia.org/wiki/Public_Ivy ... blic_Ivies

****

But the essence of that post wasn't to spark vitriol and I apologize if it did. I didn't mean to show too much school pride, or to take a shot at UVA undergrad alums who are on here and there have to be many. It was meant to say that my school's name helped me get some opportunities right after college and I'm happy that it did, and that may have helped many of us on this forum. However, it is just an opportunity. It's up to me at the end of the day to show what I can do, and all of us to show that, and that is what is going to help our careers in the long run. Business school prestige like any other grad school's prestige, can help us get a better shot at that first job post MBA (maybe even 2nd). But we have to work hard at it from there, or someone else will take our spots. Hope that helps.

No need to apologize novanative,...W&M is an awesome school and it does indeed have a great reputation among employers, especially in the greater DC area. Although I didn't go to school in Virginia,...I have to admit I'm a bit partial to UVA ....one of my biggest regrets is not applying there for undergrad. Its an amazing school (and Charlottesville is a beautiful town),..thats why I felt the need to preserve its stature as the top dog in Virginia
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Re: The real world : Elite b-school vs XYZ b-school [#permalink]  24 Apr 2012, 06:04
jhubaseball08 wrote:
Good post.

Also thought I should say what's up and give a shoutout to a W&M grad. I grew up in CT and NY, but have a bunch of family down around DC and Virginia, and my grandfather went to W&M, and always had amazing things to say about it. Would have applied myself, and likely would have gone, if I hadn't gotten lucky and got into Hopkins ED. W&M had the nicest campus I've ever seen, without a doubt. Most of the B schools I'm applying to are in the DC area as well, seems as you're the same way. Love the area, it's a great place.

Again, nice insights with that post.

Thanks for the school shout out.
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Re: The real world : Elite b-school vs XYZ b-school [#permalink]  24 Apr 2012, 07:44
Although it is true that the MBA only matters for your first job, the companies/firms that recruit at Top 10 vs. Top 30 schools very different. Take a look at the employment report from the top 30 school and if the company you want to work for hires from there, then you should be fine. But I will tell you if you want to work at an MBB or a BB bank, chances are slim to none that they will take people from 25-30 programs that didn't work there pre-MBA.
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Re: The real world : Elite b-school vs XYZ b-school [#permalink]  25 Apr 2012, 06:35
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I agree with the other posters who have said that a top MBA will give you a greater range of opportunities and better chances of employment. I'm a current student at Tuck and my recruiting experience has far exceeded my expectations. The companies that I have been able to interview with would never have spoken to me prior to my entrance to Tuck. I got my summer internship quickly and easily, it pays well, and it's a perfect fit for my life and career goals.

Having said all that I also agree that it is only the opportunity that the school gives you. You still have to perform well in interviews and you must never forget that you're competing with students from all of the other schools. I figure I must be a pretty good interviewer because I know several people who are much smarter than me who have had some difficulty getting through the interview stage. I guess what I'm trying to say is that if the #30 school you have gotten into has relationships with and, more importantly, can get YOU an interview with companies that you want to work for then it's really your own skill as an interviewee and candidate for job positions that will limit your career prospects.

Also, I have personally found that individual job performance has mattered less than I expected. What the majority of companies (exclude IB, and some other cut-throats) are looking for is your ability to work with others and to elevate the performance of an entire team. Anyone with real world experience will tell you that they would rather have 10 amazing team players than 10 individual superstars. So emphasize that aspect of your personality and the opportunities should be there for you.

I can see that this is a hard decision for you, and reading between the lines it seems as though you are a little worried about the prestige of the lower ranked school. There may be a few people from top schools who look down upon people from lower ranked schools but for the most part I believe that this isn't an issue. You should choose the school that's right for you, your financial situation, and your career goals, and if you do run into a school snob then ignore it and move on. Trust me, nobody likes that guy, and they didn't while they were in school either.

Good luck with everything buddy.
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Re: The real world : Elite b-school vs XYZ b-school [#permalink]  27 Apr 2012, 00:59
2
KUDOS
Hello imaProfessor,

I am in the same boat as you are. Although you are a little ahead of me as I will be applying only this year. I am 34 and facing a similar dilemma of choice between a full time and an executive MBA. I have come across conflicting opinions on how the age determines eligibility. While some say it doesn't matter, others say it does.

As far as the question of choosing between two schools, if I were you I would consider the following factors:

1. Quality: Highly ranked schools are ranked high because they offer a better quality of education. Now, the difference between a school ranked 5th and one ranked (say) 8th is nothing. However, there is always a difference between the one that is ranked 5th and the other that is ranked 30th.

2. Comfort: Irrespective of rankings, each school is different and have their own DNA. Doesn't matter what the ranking is, I think it is very important that you are comfortable with the school's DNA. Because unless you are comfortable with that school's environment you will not be able to take advantage of the higher quality that it offers. For example, some people like smaller class sizes where the experience is very personal while for others this may not matter and they may thrive in large class sizes where the personal touch doesn't exist. Again, some people learn faster in a very cut-throat competitive environment where everything is so very fast .. fast; while others may prefer a much slower and steadier pace to learning concepts. I am assuming that you have already visited both the schools and are equally comfortable with either of them in terms of the environment.

3. Cost: Cost of education is always important. As someone already said, if it is jut 20K then that may not matter. But if it is significant (depending on what you think 'significant' is) then that should be taken into account. Because there is no guarantee that you will get a scholarship next year at the top 10 school unless your application strength improves significantly. Look at the bird at hand vs. the two in the bush.

While to me these three are the most relevant factors that I would look into if I had to take the decision, I understand that it is very difficult to quantify the parameters or put them into an equation. Because, the first two are very qualitative as well as subjective in nature. In the end only you can create the perfect equation that satisfy your needs.

As far as the post MBA career is concerned, I think what matters more than anything is how well you have improved your skills in the 2 years. In the workplace, it is always your achievements that drive your growth rather than what school you have come from. The school does help to jump the initial hump but after that it is all about you. So, Quality and Comfort are important and go hand in hand. If you have a family then your post education debt is also a matter of concern. So, Cost is important too. But once, again the amount of debt you carry along with your post MBA salary will determine your financial position. So, in the end all the three go hand in hand.

Hope this helps. I know how difficult choices can be at times and I do empathize with you.

I do have one question for you - it will help me in making my own decisions. I am not sure what schools you had applied to but did you come across any events where you felt that some of them considered your age negatively? I mean to say, should I be more concerned about my age while applying to certain schools than the others?

Regards,
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Re: The real world : Elite b-school vs XYZ b-school [#permalink]  27 Apr 2012, 03:15
Let's say if I want to do f500 cf, does it make sense to go with BYU MBA (around 30th) over Anderson/McCombs/etc, considering the huge cost difference?
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Re: The real world : Elite b-school vs XYZ b-school [#permalink]  06 Feb 2015, 03:21
Hi,

Since you are a W&M undergrad alum, I would like to addres this question to you. I have to decide between W&M and NC state Poole college for my MBA this year. I am a software engineering analyst and looking to pursue my MBA in the marketing concentration. I will probably have to stick to the IT Industry post MBA but I would like to explore and take my chances on consumer products or luxury brands as well, in the marketing function. Please give your inputs, anything you could tell me about the job opportunities for a MBA grad in the two schools would be helpful.

Thanks,
Ritika

novanative wrote:
I'll give my take by hitting various points you made.

Will being older hurt you for certain jobs?
Depends on if you want to change your complete career track. Usually not if you are trying to stay in the same area.

This is a question that probably will affect law school grads in your age more than younger law school applicants (vast majority are either in college or no older than 25 and with no more than 2-3 years WE). The NLJ Top 250 firms generally only want to hire younger associates from elite schools who can handle the 80 hour work weeks with minimal familial interruption, though some top students at lower schools get in here too. Older law applicants usually apply their degree in a related field pre-JD. For example many law students with big science backgrounds and considerable quality scientific WE can find offers as patent/IP lawyers.

For MBA's, I'd imagine that investment banking may be like this too, but I'm not interested in this field at all, so maybe someone else could chime in on this.

Elite school or a Top 30?
A top 30 school will still have great regional prospects and if it's in a major city's area, your job prospects will look good post MBA. Again, if you're trying to get into something completely new, then yes, generally speaking, the better the school, the better the prospects you have. Ultimately, grad school and college is what you make of it.

Will you be passed over for guys who went to better schools than you as an employee?
I'll say it like this. My college degree from William and Mary certainly helped me get some job offers over some other guys who didn't go to schools as good as mine. But that really only helps me for my first job, and perhaps I may get into a better b school program over some others with a similar GPA because W&M is a Public Ivy and holds good clout in the Washington area though I'm not so sure outside of the east coast.

However now after six years of WE and with me hitting the age of 28, my college degree is not going to impress any prospective employer by itself, and they want to see what qualities I bring to my employer now instead. I can't flaunt my college degree at this point in time anymore in the DC area because it isn't giving me any promotions, etc. I have to beat out the other guys with my merit, regardless of whether they're from a school as good as W&M like UVA, a school clearly better than W&M like Georgetown or Hopkins, or one of the local/regional schools like George Mason, VCU, or James Madison, all schools that produce some pretty successful guys in the local area too. A degree, any degree gives me a foot in the door for some opportunities sooner and lets you apply for some better opportunities that you can't without it. But yes, the returns for a degree because of the school name diminish the further and further away you are from graduation. I certainly see that with my college degree.

Closing thoughts
I think you should go to the school that's best for you now, considering your age is "entering" executive MBA territory. The elite school (ie - Kellogg/Wharton/Stanford) gives you the most open doors and may get you something you like sooner. The top 30 program (Georgetown/Vandy), especially if it's in an area where you'd like to work is not a bad deal either. You'll be fine if you put your time into business school and into the areas you'd like to work in, and in particular if it's not too far off from your current line of work. Good luck!
Re: The real world : Elite b-school vs XYZ b-school   [#permalink] 06 Feb 2015, 03:21

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### Chocolate

There are three tables in a room with blocks of chocolate on each. Where would be the best place for each child in the class to sit if they came in one at a time?

### F'arc'tion

At the corner of the cube circular arcs are drawn and the area enclosed shaded. What fraction of the surface area of the cube is shaded? Try working out the answer without recourse to pencil and paper.

### Do Unto Caesar

At the beginning of the night three poker players; Alan, Bernie and Craig had money in the ratios 7 : 6 : 5. At the end of the night the ratio was 6 : 5 : 4. One of them won $1 200. What were the assets of the players at the beginning of the evening? # Mixing Lemonade ##### Stage: 3 Challenge Level: Lots of great solutions were submitted to this problem, using a wide variety of approaches. The problem prompted you to use fractions, ratios, percentages, and graphs. In addition, you could investigate and consider which methods worked most effectively in different situations. The first part of the task is to determine the mixture with the stronger tasting lemonade - the first glass has$200$ml of lemon juice, and$300ml$water the second glass has$100$ml of lemon juice, and$200$ml water What is the best way to compare these two mixtures? There are several different ways, as shown by the different explanations submitted. Mahir, from Saltus Grammar School converted the values given so that there is the same amount of water in each glass: In the first glass, there is$300$ml water, and in the second, there is$200$ml. Therefore, to equate the amounts of water, he multiplied everything in the first glass by two, and everything in the second glass by three. Each glass now has$600$ml water, and so can now be compared. Note that it is "ok" to multiply everything in each glass by a certain number as it is the proportions or relative amounts we are interested in, rather than the absolute amounts. For the first glass, we now have:$400$ml lemon juice and$600$ml water For the second glass, we now have:$300$ml lemon juice and$600$ml water From this, we can now tell that the mixture in the first glass must taste stronger: for the same amount of water, there is more lemon juice. Jonathan, from Wilson's School, used a similar method. However, he instead made the amounts of lemon juice equal, and then saw which glass had more water. The glass with less water for the same amount of juice will be stronger, as the juice is less diluted. Another related method, used by many people was to use ratios, fractions and/or percentages. Will K. from Wilson's School gave a lovely explanation: Glass 1 would be stronger as it has a simplified ratio of lemon juice: water of$2:3$, and so is$\frac{2}{5}$lemon juice, or$40$%, whereas glass$2$has a simplified ratio of$1:2$for lemon juice: water, and so is$\frac{1}{3}$lemon juice, or$33.\dot{3}$% lemon juice, and so is weaker than glass$1$. The strategy is to work out the ratio (e.g.$40$ml lemon juice to$120$ml water would be$40:120$lemon juice: water), simplify it (e.g.$40:120$simplifies to$4:12$, which simplifies to$1:3$), and then turn that into a fraction ($1:3$would be$\frac{1}{4}$as$1 +3 = 4$and so the$1$part that is lemon juice is$\frac{1}{4}$of the drink), and then turn that into a percentage ($\frac{1}{4}$into$25$%). The glass with the highest percentage being lemon juice (or the lowest percentage being water) would be the strongest glass of lemonade. Will expressed the strength of the lemonade as a percentage, as these can be easily compared. Sharumilan, also from Wilson's School converted the fractions so that they had a common denominator. In this way, they can be more easily compared. In fact, this is the same as converting to percentages; percentages are fractions with a denominator of$100$! Here is Sharumilan's answer: The first glass has the stronger tasting lemonade because$\frac{2}{5}$($\frac{6}{15}$) of it is lemon juice while only$\frac{1}{3}$($\frac{5}{15}$) of the lemonade in the second glass is lemon juice. What about a more visual approach? Iona, from Whitby Maths Club compared the two solutions by drawing these graphs. Dominic, from Wilson's School, also suggested a graphical approach: If you wanted to set it out in a pie chart you could easily see which mixture was sronger. The graph with the biggest chunk of lemon in it would be the strongest. Another suggestion made by several people would be to convert the amounts so that there are equivalent amounts of water or lemon juice, as described above. Then, you could draw a glass and visually see which is the stronger mixture. Dulan, from Wilson's School, suggested a very nice method, which can display graphically multiple different mixtures: He thought that a graph could be constructed with$x$and$y$axes. On the$x$axis could be "amount of lemon juice", and on the$y$axis, "amount of water". Try constructing this for yourself. What does it mean if two mixtures have the same$x$coordinate, but different$y$coordinates? What if they have the same$y$coordinates, but different$x$coordinates? You should be able to construct straight lines from the origin to the various points representing different mixtures and compare their strengths. Along each line the strength of all of the mixtures is the same as the proportions do not change. We have now seen different examples of approaches to this problem. Do the different methods always work? Which method is most efficient? Nathan, from Wilson's School noted that different methods are more efficient in different situations: The ratio or fraction strategy would be more efficient for difficult fractions e.g.$\frac{300}{430}$and$\frac{290}{560}$but using a mental method would be more efficient for numbers like$\frac{30}{50}$and$\frac{40}{50}$, as you can see that$\frac{40}{50}\$ has a more concentrated supply of lemonade.

Several people had their own preference of method, depending on what they felt most comfortable using.

Sharumilan explained this, and also examined the combination of the different mixtures:

I always use fractions because it seems easier for me and the graph helped me to get the fractions quickly so it could actually be a mix of both.

The strength of combined mixtures always has to be the same as or in between the two mixtures. I have said "the same as" because if the two mixtures are identical, the combined mixture has to be the same as well.

Try this out for yourself, with some squash, or cordial...

Thank you very much to everyone who submitted solutions. There were many correct solutions, and so we could not mention them all. Well done!

If you enjoyed this problem, try the extension problem Ratios and Dilutions.

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# zbMATH — the first resource for mathematics

## Suantai, Suthep

Compute Distance To:
 Author ID: suantai.suthep Published as: Suantai, S.; Suantai, Suthep Homepage: http://www.math.science.cmu.ac.th/personals-detail.php?lg=en&id=12 External Links: MGP · ORCID · ResearchGate · dblp
 Documents Indexed: 230 Publications since 1993, including 1 Book
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#### Serials

 24 Fixed Point Theory and Applications 16 Thai Journal of Mathematics 9 Abstract and Applied Analysis 8 Computers & Mathematics with Applications 8 Journal of Nonlinear and Convex Analysis 7 Carpathian Journal of Mathematics 6 International Journal of Mathematics and Mathematical Sciences 6 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 6 Journal of Nonlinear Analysis and Optimization: Theory & Applications 5 Journal of Nonlinear Science and Applications 4 Kyungpook Mathematical Journal 4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 4 Journal of the Science Faculty of Chiang Mai University 4 Optimization 4 Journal of Inequalities and Applications 4 Dynamics of Continuous, Discrete & Impulsive Systems. Series A. Mathematical Analysis 4 Afrika Matematika 3 Indian Journal of Pure & Applied Mathematics 3 Journal of Mathematical Analysis and Applications 3 Applied Mathematics and Computation 3 Bulletin of the Calcutta Mathematical Society 3 Applied Mathematics Letters 3 Journal of Global Optimization 3 Computational and Applied Mathematics 3 Optimization Methods & Software 3 Journal of Applied Mathematics 3 Fixed Point Theory 3 International Journal of Nonlinear Analysis and Applications 2 Archivum Mathematicum 2 Southeast Asian Bulletin of Mathematics 2 Bulletin of the Iranian Mathematical Society 2 Mathematical and Computer Modelling 2 Numerical Algorithms 2 Review Bulletin of the Calcutta Mathematical Society 2 Vychislitel’nye Tekhnologii 2 Taiwanese Journal of Mathematics 2 Nonlinear Functional Analysis and Applications 2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 2 Mediterranean Journal of Mathematics 2 Journal of Fixed Point Theory and Applications 2 International Journal of Mathematical Analysis (Ruse) 2 Nonlinear Analysis. Hybrid Systems 2 Banach Journal of Mathematical Analysis 2 Applied General Topology 1 Matimyás Matematika 1 Mathematical Methods in the Applied Sciences 1 Demonstratio Mathematica 1 Fasciculi Mathematici 1 Journal of Computational and Applied Mathematics 1 Numerical Functional Analysis and Optimization 1 Annales Societatis Mathematicae Polonae. Seria I. Commentationes Mathematicae 1 Acta Applicandae Mathematicae 1 International Journal of Computer Mathematics 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Bulletin Mathématique de la Société des Sciences Mathématiques de Roumanie. Nouvelle Série 1 Georgian Mathematical Journal 1 Journal of Convex Analysis 1 Opuscula Mathematica 1 Discrete Dynamics in Nature and Society 1 Italian Journal of Pure and Applied Mathematics 1 Analysis (München) 1 Journal of Computational Analysis and Applications 1 Communications of the Korean Mathematical Society 1 Acta Mathematica Sinica. English Series 1 Communications in Nonlinear Science and Numerical Simulation 1 Lobachevskii Journal of Mathematics 1 Quasigroups and Related Systems 1 Scientiae Mathematicae Japonicae 1 Advances in Difference Equations 1 AKCE International Journal of Graphs and Combinatorics 1 Boundary Value Problems 1 Journal of Applied Functional Analysis 1 JP Journal of Fixed Point Theory and Applications 1 Journal of Mathematical Analysis and Approximation Theory 1 Bulletin of Mathematical Analysis and Applications 1 Annals of the Academy of Romanian Scientists. Mathematics and its Applications 1 ISRN Mathematical Analysis 1 Journal of Applied Analysis and Computation 1 Journal of Function Spaces
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#### Fields

 168 Operator theory (47-XX) 54 Functional analysis (46-XX) 38 General topology (54-XX) 21 Numerical analysis (65-XX) 11 Calculus of variations and optimal control; optimization (49-XX) 9 Operations research, mathematical programming (90-XX) 5 Partial differential equations (35-XX) 4 Combinatorics (05-XX) 4 Sequences, series, summability (40-XX) 4 Approximations and expansions (41-XX) 2 General and overarching topics; collections (00-XX) 2 Nonassociative rings and algebras (17-XX) 2 Real functions (26-XX) 2 Ordinary differential equations (34-XX) 2 Integral equations (45-XX) 1 Group theory and generalizations (20-XX) 1 Functions of a complex variable (30-XX) 1 Difference and functional equations (39-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Computer science (68-XX) 1 Biology and other natural sciences (92-XX) 1 Systems theory; control (93-XX)

#### Citations contained in zbMATH Open

139 Publications have been cited 862 times in 599 Documents Cited by Year
Weak and strong convergence criteria of Noor iterations for asymptotically nonexpansive mappings. Zbl 1086.47057
Suantai, Suthep
2005
On the rate of convergence of Mann, Ishikawa, Noor and SP-iterations for continuous functions on an arbitrary interval. Zbl 1215.65095
Phuengrattana, Withun; Suantai, Suthep
2011
A new mapping for finding common solutions of equilibrium problems and fixed point problems of finite family of nonexpansive mappings. Zbl 1167.47304
Kangtunyakarn, Atid; Suantai, Suthep
2009
The dual spaces of sets of difference sequences of order $$m$$ and matrix transformations. Zbl 1123.46007
Malkowsky, Eberhard; Mursaleen, M.; Suantai, Suthep
2007
Halpern’s iteration for Bregman strongly nonexpansive mappings in reflexive Banach spaces. Zbl 1252.65100
Suantai, Suthep; Cho, Yeol Je; Cholamjiak, Prasit
2012
Hybrid iterative scheme for generalized equilibrium problems and fixed point problems of finite family of nonexpansive mappings. Zbl 1226.47076
Kangtunyakarn, Atid; Suantai, Suthep
2009
On the James constant and $$B$$-convexity of Cesàro and Cesàro–Orlicz sequence spaces. Zbl 1109.46026
Maligranda, Lech; Petrot, Narin; Suantai, Suthep
2007
Convergence criteria of modified Noor iterations with errors for asymptotically nonexpansive mappings. Zbl 1087.47054
Nammanee, Kamonrat; Noor, Muhammad Aslam; Suantai, Suthep
2006
Basic topological and geometric properties of Cesàro-Orlicz spaces. Zbl 1093.46013
Cui, Yunan; Hudzik, Henryk; Petrot, Narin; Suantai, Suthep; Szymaskiewicz, Alicja
2005
Coincidence point theorems for graph-preserving multi-valued mappings. Zbl 1345.54075
Tiammee, Jukrapong; Suantai, Suthep
2014
On Browder’s convergence theorem and Halpern iteration process for $$G$$-nonexpansive mappings in Hilbert spaces endowed with graphs. Zbl 1346.47064
Tiammee, Jukrapong; Kaewkhao, Attapol; Suantai, Suthep
2015
Convergence analysis for a system of equilibrium problems and a countable family of relatively quasi-nonexpansive mappings in Banach spaces. Zbl 1206.47069
Cholamjiak, Prasit; Suantai, Suthep
2010
A hybrid method for a countable family of multivalued maps, equilibrium problems, and variational inequality problems. Zbl 1194.90104
Cholamjiak, Watcharaporn; Suantai, Suthep
2010
On solving the minimization problem and the fixed-point problem for nonexpansive mappings in CAT(0) spaces. Zbl 06734174
Suparatulatorn, Raweerote; Cholamjiak, Prasit; Suantai, Suthep
2017
On solving split equilibrium problems and fixed point problems of nonspreading multi-valued mappings in Hilbert spaces. Zbl 1346.47061
Suantai, Suthep; Cholamjiak, Prasit; Cho, Yeol Je; Cholamjiak, Watcharaporn
2016
On $$k$$-nearly uniform convex property in generalized Cesàro sequence spaces. Zbl 1039.46016
Sanhan, Winate; Suantai, Suthep
2003
An inertial forward-backward splitting method for solving inclusion problems in Hilbert spaces. Zbl 06858734
Cholamjiak, Watcharaporn; Cholamjiak, Prasit; Suantai, Suthep
2018
Convergence of iterative schemes for solving fixed point problems for multi-valued nonself mappings and equilibrium problems. Zbl 1381.47046
Cholamjiak, Watcharaporn.; Cholamjiak, Prasit.; Suantai, Suthep
2015
A modified S-iteration process for G-nonexpansive mappings in Banach spaces with graphs. Zbl 06836924
Suparatulatorn, Raweerote; Cholamjiak, Watcharaporn; Suantai, Suthep
2018
A new hybrid algorithm for variational inclusions, generalized equilibrium problems, and a finite family of quasi-nonexpansive mappings. Zbl 1186.47060
Cholamjiak, Prasit; Suantai, Suthep
2009
Relaxed CQ algorithms involving the inertial technique for multiple-sets split feasibility problems. Zbl 07086866
Suantai, Suthep; Pholasa, Nattawut; Cholamjiak, Prasit
2019
An implicit iteration process for solving a fixed point problem of a finite family of multi-valued mappings in Banach spaces. Zbl 06094499
Suantai, Suthep; Cholamjiak, Watcharaporn; Cholamjiak, Prasit
2012
Viscosity approximation methods for a nonexpansive semigroup in Banach spaces with gauge functions. Zbl 1252.47072
Cholamjiak, Prasit; Suantai, Suthep
2012
Weak convergence theorems for a countable family of strict pseudocontractions in Banach spaces. Zbl 1206.47070
Cholamjiak, Prasit; Suantai, Suthep
2010
Uniform Opial properties in generalized Cesàro sequence spaces. Zbl 1102.46012
Petrot, Narin; Suantai, Suthep
2005
Comparison of the rate of convergence of various iterative methods for the class of weak contractions in Banach spaces. Zbl 1294.47090
Phuengrattana, Withun; Suantai, Suthep
2013
Composite iterative schemes for maximal monotone operators in reflexive Banach spaces. Zbl 1393.47028
Cholamjiak, Prasit; Cho, Yeol J.; Suantai, Suthep
2011
Existence and stability of iterative algorithms for the system of nonlinear quasi-mixed equilibrium problems. Zbl 1220.47125
Suantai, Suthep; Petrot, Narin
2011
Strong convergence of a new iterative scheme for a finite family of strict pseudo-contractions. Zbl 1201.65088
Kangtunyakarn, Atid; Suantai, Suthep
2010
Strong convergence of generalized projection algorithms for nonlinear operators. Zbl 1195.47043
Klin-Eam, Chakkrid; Suantai, Suthep; Takahashi, Wataru
2009
Shrinking projection methods involving inertial forward-backward splitting methods for inclusion problems. Zbl 07086838
Khan, Suhel Ahmad; Suantai, Suthep; Cholamjiak, Watcharaporn
2019
Convergence theorem for equilibrium problem and Bregman strongly nonexpansive mappings in Banach spaces. Zbl 1338.47101
Kumam, Wiyada; Witthayarat, Uamporn; Kumam, Poom; Suantai, Suthep; Wattanawitoon, Kriengsak
2016
Strong convergence for a countable family of strict pseudocontractions in -uniformly smooth Banach spaces. Zbl 1228.47058
Cholamjiak, Prasit; Suantai, Suthep
2011
On the $$H$$-property of some Banach sequence spaces. Zbl 1115.46012
Suantai, Suthep
2003
Approximation of common fixed points of two quasi-nonexpansive multi-valued maps in Banach spaces. Zbl 1218.47097
Cholamjiak, Watcharaporn; Suantai, Suthep
2011
On uniform Kadec–Klee properties and rotundity in generalized Cesàro sequence spaces. Zbl 1074.46010
Petrot, Narin; Suantai, Suthep
2004
Nonlinear iterative methods for solving the split common null point problem in Banach spaces. Zbl 1417.49018
Suantai, Suthep; Shehu, Yekini; Cholamjiak, Prasit
2019
Boundary value problems for impulsive multi-order Hadamard fractional differential equations. Zbl 1341.34013
Yukunthorn, Weera; Suantai, Suthep; Ntouyas, Sotiris K.; Tariboon, Jessada
2015
An iterative method for equilibrium problems and a finite family of relatively nonexpansive mappings in a Banach space. Zbl 1368.47052
Cholamjiak, Prasit; Suantai, Suthep
2010
Some geometric properties of Cesáro sequence space. Zbl 1050.46018
Sanhan, W.; Suantai, S.
2003
Strong convergence of a self-adaptive method for the split feasibility problem in Banach spaces. Zbl 06905260
Suantai, Suthep; Shehu, Yekini; Cholamjiak, Prasit; Iyiola, Olaniyi S.
2018
Dislocated quasi-b-metric spaces and fixed point theorems for cyclic weakly contractions. Zbl 1348.54063
Suanoom, Cholatis; Klin-eam, Chakkrid; Suantai, Suthep
2016
Viscosity approximation methods for multivalued nonexpansive mappings in geodesic spaces. Zbl 1443.47073
Panyanak, Bancha; Suantai, Suthep
2015
Iterative methods for solving equilibrium problems, variational inequalities and fixed points of nonexpansive semigroups. Zbl 1339.47082
Cholamjiak, Prasit; Suantai, Suthep
2013
Equilibrium problems and fixed point problems for nonspreading-type mappings in Hilbert space. Zbl 1281.47060
Singthong, Urailuk; Suantai, Suthep
2011
Strong convergence theorems for a countable family of nonexpansive mappings in convex metric spaces. Zbl 1296.54083
Phuengrattana, Withun; Suantai, Suthep
2011
Existence and iteration for a mixed equilibrium problem and a countable family of nonexpansive mappings in Banach spaces. Zbl 1221.49003
Cholamjiak, Prasit; Suantai, Suthep
2011
Fixed point theorems for nonexpansive mappings with applications to generalized equilibrium and system of nonlinear variational inequalities problems. Zbl 1413.47076
Cho, Yeol Je; Petrot, Narin; Suantai, Suthep
2010
A new approximation method for common fixed points of a finite family of asymptotically quasi-nonexpansive mappings in Banach spaces. Zbl 1201.65089
Kettapun, Atichart; Kananthai, Amnuay; Suantai, Suthep
2010
A note on “Common fixed point of multistep noor iteration with errors for a finite family of generalized asymptotically quasi-nonexpansive mappings”. Zbl 1185.47081
Saejung, Satit; Suantai, Suthep; Yotkaew, Pongsakorn
2009
A new approximation method for solving variational inequalities and fixed points of nonexpansive mappings. Zbl 1185.47077
Klin-Eam, Chakkrid; Suantai, Suthep
2009
On some convexity properties of generalized Cesàro sequence spaces. Zbl 1051.46011
Suantai, Suthep
2003
Split common fixed point and null point problems for demicontractive operators in Hilbert spaces. Zbl 07024418
Jailoka, Pachara; Suantai, Suthep
2019
A modified inertial shrinking projection method for solving inclusion problems and quasi-nonexpansive multivalued mappings. Zbl 1413.47103
Cholamjiak, Watcharaporn; Pholasa, Nattawut; Suantai, Suthep
2018
Common coupled fixed point theorems for $$\theta$$-$$\psi$$-contraction mappings endowed with a directed graph. Zbl 1429.54060
Suantai, Suthep; Charoensawan, Phakdi; Lampert, Tatjana Aleksic
2015
Existence theorems for generalized asymptotically nonexpansive mappings in uniformly convex metric spaces. Zbl 1285.47060
Phuengrattana, Withun; Suantai, Suthep
2013
Fixed point theorems for a semigroup of generalized asymptotically nonexpansive mappings in CAT(0) spaces. Zbl 06236303
Phuengrattana, Withun; Suantai, Suthep
2012
Convergence theorems for infinite family of multivalued quasi-nonexpansive mappings in uniformly convex Banach spaces. Zbl 1237.47068
Bunyawat, Aunyarat; Suantai, Suthep
2012
Weak and strong convergence to common fixed points of a countable family of multi-valued mappings in Banach spaces. Zbl 06148533
Cholamjiak, Prasit; Cholamjiak, Watcharaporn; Cho, Yeol Je; Suantai, Suthep
2011
Hybrid methods for a finite family of G-nonexpansive mappings in Hilbert spaces endowed with graphs. Zbl 06791236
Suparatulatorn, Raweerote; Suantai, Suthep; Cholamjiak, Watcharaporn
2017
A modified regularization method for finding zeros of monotone operators in Hilbert spaces. Zbl 1338.47077
Cholamjiak, Prasit; Cholamjiak, Watcharaporn; Suantai, Suthep
2015
Algorithms for solving generalized equilibrium problems and fixed points of nonexpansive semigroups in Hilbert spaces. Zbl 06316000
Suantai, Suthep; Cholamjiak, Prasit
2014
On some $$I$$-convergent sequence spaces defined by a sequence of moduli. Zbl 1412.46011
Khan, Vakeel. A.; Suantai, Suthep; Ebadullah, Khalid
2012
Common fixed points of a countable family of multivalued quasi-nonexpansive mappings in uniformly convex Banach spaces. Zbl 1255.47062
Bunyawat, Aunyarat; Suantai, Suthep
2012
On a new $$I$$-convergent sequence space. Zbl 1263.46006
Khan, Vakeel A.; Ebadullah, Khalid; Suantai, Suthep
2012
A new hybrid algorithm for a countable family of quasi-nonexpansive mappings and equilibrium problems. Zbl 1228.47059
Cholamjiak, Watcharaporn; Suantai, Suthep
2011
Strong convergence theorems for a general system of variational inequality problems, mixed equilibrium problems and fixed points problems with applications. Zbl 1205.65189
Imnang, S.; Suantai, S.
2010
A new general iterative method for a finite family of nonexpansive mappings in Hilbert spaces. Zbl 1204.47086
Singthong, Urailuk; Suantai, Suthep
2010
Strong convergence of composite iterative schemes for a countable family of nonexpansive mappings in Banach spaces. Zbl 1226.47080
Klin-Eam, Chakkrid; Suantai, Suthep
2010
Fixed point theorems for $$\alpha$$-nonexpansive mappings. Zbl 1189.47053
Klin-Eam, Chakkrid; Suantai, Suthep
2010
Common fixed points of multistep Noor iterations with errors for a finite family of generalized asymptotically quasi-nonexpansive mappings. Zbl 1185.47076
Imnang, S.; Suantai, S.
2009
Weak and strong convergence of an implicit iteration process for a finite family of nonexpansive mappings. Zbl 1218.47125
Thianwan, Sornsak; Suantai, Suthep
2007
The modified Noor iterations with errors for non-Lipschitzian mappings in Banach spaces. Zbl 1117.47055
Nammanee, Kamonrat; Suantai, Suthep
2007
Self-adaptive algorithms with inertial effects for solving the split problem of the demicontractive operators. Zbl 07164433
Suparatulatorn, Raweerote; Cholamjiak, Prasit; Suantai, Suthep
2020
Diametrically regular mappings and Browder’s theorem without the endpoint condition. Zbl 1434.54018
Panyanak, Bancha; Suantai, S.
2020
Reckoning solution of split common fixed point problems by using inertial self-adaptive algorithms. Zbl 07124357
Suparatulatorn, Raweerote; Suantai, Suthep; Phudolsitthiphat, Narawadee
2019
A new CQ algorithm for solving split feasibility problems in Hilbert spaces. Zbl 07107885
Vinh, Nguyen The; Cholamjiak, Prasit; Suantai, Suthep
2019
Convergence analysis of SP-iteration for $$G$$-nonexpansive mappings with directed graphs. Zbl 07107877
Sridarat, Phikul; Suparaturatorn, Raweerote; Suantai, Suthep; Cho, Yeol Je
2019
The split common fixed point problem for multivalued demicontractive mappings and its applications. Zbl 07086841
Jailoka, Pachara; Suantai, Suthep
2019
Hybrid algorithm for common best proximity points of some generalized nonself nonexpansive mappings. Zbl 07005970
Bunlue, Nuttawut; Suantai, Suthep
2018
Best proximity point for proximal Berinde nonexpansive mappings on starshaped sets. Zbl 1449.47097
Bunlue, Nuttawut; Suantai, Suthep
2018
Weak convergence theorems for split feasibility problems on zeros of the sum of monotone operators and fixed point sets in Hilbert spaces. Zbl 06754825
Suwannaprapa, Montira; Petrot, Narin; Suantai, Suthep
2017
A hybrid shrinking projection method for common fixed points of a finite family of demicontractive mappings with variational inequality problems. Zbl 06754307
Suantai, Suthep; Phuengrattana, Withun
2017
Fixed point theorems for nonself $$G$$-almost contractive mappings in Banach spaces endowed with graphs. Zbl 1399.47150
Tiammee, Jukrapong; Cho, Yeol Je; Suantai, Suthep
2016
Coincidence point theorems for some multi-valued mappings in complete metric spaces endowed with a graph. Zbl 06583952
Klanarong, Chalongchai; Suantai, Suthep
2015
Common fixed points of an infinite family of nonexpansive mappings in uniformly convex metric spaces. Zbl 1305.47040
Phuengrattana, Withun; Suantai, Suthep
2013
Strong convergence theorems by monotone hybrid method for a family of generalized nonexpansive mappings in Banach spaces. Zbl 06137985
Klin-Eam, Chakkrid; Suantai, Suthep; Takahashi, Wataru
2012
Strong convergence theorems for variational inequalities and fixed points of a countable family of nonexpansive mappings. Zbl 1315.47062
Bunyawat, Aunyarat; Suantai, Suthep
2011
Convergence analysis for a system of generalized equilibrium problems and a countable family of strict pseudocontractions. Zbl 1214.47066
Cholamjiak, Prasit; Suantai, Suthep
2011
Strong convergence theorem for a new general system of variational inequalities in Banach spaces. Zbl 1222.49012
Imnang, S.; Suantai, S.
2010
Convergence theorems from monotone hybrid methods for an infinitely countable family of Lipschitz asymptotically quasi-nonexpansive mappings. Zbl 1198.47083
Cholamjiak, Watcharaporn; Suantai, Suthep
2010
Convergence criteria of a new three-step iteration with errors for nonexpansive nonself-mappings. Zbl 1138.47049
Thianwan, Sornsak; Suantai, Suthep
2006
On the $$\beta$$-dual of vector-valued sequence spaces of Maddox. Zbl 1026.46003
Suantai, Suthep; Sanhan, Winate
2002
On the weak solutions of the equation related to the Diamond operator. Zbl 0963.35111
Kananthai, A.; Suantai, S.; Longani, V.
2000
Hybrid inertial accelerated algorithms for split fixed point problems of demicontractive mappings and equilibrium problems. Zbl 1450.65048
2020
Existence and convergence theorems for global minimization of best proximity points in Hilbert spaces. Zbl 1442.47055
Suparatulatorn, Raweerote; Cholamjiak, Watcharaporn; Suantai, Suthep
2020
Existence and convergence theorems for Berinde nonexpansive multivalued mapping on Banach spaces. Zbl 1438.47092
Bunlue, Nuttawut; Suantai, Suthep
2019
Iterative methods for the split feasibility problem and the fixed point problem in Banach spaces. Zbl 07068092
Suantai, Suthep; Witthayarat, Uamporn; Shehu, Yekini; Cholamjiak, Prasit
2019
Iterative methods with perturbations for the sum of two accretive operators in $$q$$-uniformly smooth Banach spaces. Zbl 1450.47026
Suantai, Suthep; Cholamjiak, Prasit; Sunthrayuth, Pongsakorn
2019
On optimization via $$\epsilon$$-generalized weak subdifferentials. Zbl 07245926
Cheraghi, P.; Farajzadeh, A. P.; Suantai, S.
2018
Self-adaptive algorithms with inertial effects for solving the split problem of the demicontractive operators. Zbl 07164433
Suparatulatorn, Raweerote; Cholamjiak, Prasit; Suantai, Suthep
2020
Diametrically regular mappings and Browder’s theorem without the endpoint condition. Zbl 1434.54018
Panyanak, Bancha; Suantai, S.
2020
Hybrid inertial accelerated algorithms for split fixed point problems of demicontractive mappings and equilibrium problems. Zbl 1450.65048
2020
Existence and convergence theorems for global minimization of best proximity points in Hilbert spaces. Zbl 1442.47055
Suparatulatorn, Raweerote; Cholamjiak, Watcharaporn; Suantai, Suthep
2020
Relaxed CQ algorithms involving the inertial technique for multiple-sets split feasibility problems. Zbl 07086866
Suantai, Suthep; Pholasa, Nattawut; Cholamjiak, Prasit
2019
Shrinking projection methods involving inertial forward-backward splitting methods for inclusion problems. Zbl 07086838
Khan, Suhel Ahmad; Suantai, Suthep; Cholamjiak, Watcharaporn
2019
Nonlinear iterative methods for solving the split common null point problem in Banach spaces. Zbl 1417.49018
Suantai, Suthep; Shehu, Yekini; Cholamjiak, Prasit
2019
Split common fixed point and null point problems for demicontractive operators in Hilbert spaces. Zbl 07024418
Jailoka, Pachara; Suantai, Suthep
2019
Reckoning solution of split common fixed point problems by using inertial self-adaptive algorithms. Zbl 07124357
Suparatulatorn, Raweerote; Suantai, Suthep; Phudolsitthiphat, Narawadee
2019
A new CQ algorithm for solving split feasibility problems in Hilbert spaces. Zbl 07107885
Vinh, Nguyen The; Cholamjiak, Prasit; Suantai, Suthep
2019
Convergence analysis of SP-iteration for $$G$$-nonexpansive mappings with directed graphs. Zbl 07107877
Sridarat, Phikul; Suparaturatorn, Raweerote; Suantai, Suthep; Cho, Yeol Je
2019
The split common fixed point problem for multivalued demicontractive mappings and its applications. Zbl 07086841
Jailoka, Pachara; Suantai, Suthep
2019
Existence and convergence theorems for Berinde nonexpansive multivalued mapping on Banach spaces. Zbl 1438.47092
Bunlue, Nuttawut; Suantai, Suthep
2019
Iterative methods for the split feasibility problem and the fixed point problem in Banach spaces. Zbl 07068092
Suantai, Suthep; Witthayarat, Uamporn; Shehu, Yekini; Cholamjiak, Prasit
2019
Iterative methods with perturbations for the sum of two accretive operators in $$q$$-uniformly smooth Banach spaces. Zbl 1450.47026
Suantai, Suthep; Cholamjiak, Prasit; Sunthrayuth, Pongsakorn
2019
An inertial forward-backward splitting method for solving inclusion problems in Hilbert spaces. Zbl 06858734
Cholamjiak, Watcharaporn; Cholamjiak, Prasit; Suantai, Suthep
2018
A modified S-iteration process for G-nonexpansive mappings in Banach spaces with graphs. Zbl 06836924
Suparatulatorn, Raweerote; Cholamjiak, Watcharaporn; Suantai, Suthep
2018
Strong convergence of a self-adaptive method for the split feasibility problem in Banach spaces. Zbl 06905260
Suantai, Suthep; Shehu, Yekini; Cholamjiak, Prasit; Iyiola, Olaniyi S.
2018
A modified inertial shrinking projection method for solving inclusion problems and quasi-nonexpansive multivalued mappings. Zbl 1413.47103
Cholamjiak, Watcharaporn; Pholasa, Nattawut; Suantai, Suthep
2018
Hybrid algorithm for common best proximity points of some generalized nonself nonexpansive mappings. Zbl 07005970
Bunlue, Nuttawut; Suantai, Suthep
2018
Best proximity point for proximal Berinde nonexpansive mappings on starshaped sets. Zbl 1449.47097
Bunlue, Nuttawut; Suantai, Suthep
2018
On optimization via $$\epsilon$$-generalized weak subdifferentials. Zbl 07245926
Cheraghi, P.; Farajzadeh, A. P.; Suantai, S.
2018
Split null point problems and fixed point problems for demicontractive multivalued mappings. Zbl 06997035
Jailoka, Pachara; Suantai, Suthep
2018
Existence theorems of a new set-valued MT-contraction in $$b$$-metric spaces endowed with graphs and applications. Zbl 06918888
Tiammee, Jukrapong; Suantai, Suthep; Cho, Yeol Je
2018
The split common fixed point problem for infinite families of demicontractive mappings. Zbl 06914780
2018
On solving the minimization problem and the fixed-point problem for nonexpansive mappings in CAT(0) spaces. Zbl 06734174
Suparatulatorn, Raweerote; Cholamjiak, Prasit; Suantai, Suthep
2017
Hybrid methods for a finite family of G-nonexpansive mappings in Hilbert spaces endowed with graphs. Zbl 06791236
Suparatulatorn, Raweerote; Suantai, Suthep; Cholamjiak, Watcharaporn
2017
Weak convergence theorems for split feasibility problems on zeros of the sum of monotone operators and fixed point sets in Hilbert spaces. Zbl 06754825
Suwannaprapa, Montira; Petrot, Narin; Suantai, Suthep
2017
A hybrid shrinking projection method for common fixed points of a finite family of demicontractive mappings with variational inequality problems. Zbl 06754307
Suantai, Suthep; Phuengrattana, Withun
2017
Best proximity point theorems for G-proximal generalized contraction in complete metric spaces endowed with graphs. Zbl 06850078
Klanarong, Chalongchai; Suantai, Suthep
2017
On solving split equilibrium problems and fixed point problems of nonspreading multi-valued mappings in Hilbert spaces. Zbl 1346.47061
Suantai, Suthep; Cholamjiak, Prasit; Cho, Yeol Je; Cholamjiak, Watcharaporn
2016
Convergence theorem for equilibrium problem and Bregman strongly nonexpansive mappings in Banach spaces. Zbl 1338.47101
Kumam, Wiyada; Witthayarat, Uamporn; Kumam, Poom; Suantai, Suthep; Wattanawitoon, Kriengsak
2016
Dislocated quasi-b-metric spaces and fixed point theorems for cyclic weakly contractions. Zbl 1348.54063
Suanoom, Cholatis; Klin-eam, Chakkrid; Suantai, Suthep
2016
Fixed point theorems for nonself $$G$$-almost contractive mappings in Banach spaces endowed with graphs. Zbl 1399.47150
Tiammee, Jukrapong; Cho, Yeol Je; Suantai, Suthep
2016
Mechanically-driven spreading of bacterial populations. Zbl 07246628
2016
Fixed point theorems for Prešić almost contraction mappings in orbitally complete metric spaces endowed with directed graphs. Zbl 1399.54086
Boriwan, Pornpimon; Petrot, Narin; Suantai, Suthep
2016
Hybrid method for the equilibrium problem and a family of generalized nonexpansive mappings in Banach spaces. Zbl 06642749
Klin-Eam, Chakkrid; Kaskasem, Prondanai; Suantai, Suthep
2016
On Browder’s convergence theorem and Halpern iteration process for $$G$$-nonexpansive mappings in Hilbert spaces endowed with graphs. Zbl 1346.47064
Tiammee, Jukrapong; Kaewkhao, Attapol; Suantai, Suthep
2015
Convergence of iterative schemes for solving fixed point problems for multi-valued nonself mappings and equilibrium problems. Zbl 1381.47046
Cholamjiak, Watcharaporn.; Cholamjiak, Prasit.; Suantai, Suthep
2015
Boundary value problems for impulsive multi-order Hadamard fractional differential equations. Zbl 1341.34013
Yukunthorn, Weera; Suantai, Suthep; Ntouyas, Sotiris K.; Tariboon, Jessada
2015
Viscosity approximation methods for multivalued nonexpansive mappings in geodesic spaces. Zbl 1443.47073
Panyanak, Bancha; Suantai, Suthep
2015
Common coupled fixed point theorems for $$\theta$$-$$\psi$$-contraction mappings endowed with a directed graph. Zbl 1429.54060
Suantai, Suthep; Charoensawan, Phakdi; Lampert, Tatjana Aleksic
2015
A modified regularization method for finding zeros of monotone operators in Hilbert spaces. Zbl 1338.47077
Cholamjiak, Prasit; Cholamjiak, Watcharaporn; Suantai, Suthep
2015
Coincidence point theorems for some multi-valued mappings in complete metric spaces endowed with a graph. Zbl 06583952
Klanarong, Chalongchai; Suantai, Suthep
2015
A coupled system of fractional $$q$$-integro-difference equations with nonlocal fractional $$q$$-integral boundary conditions. Zbl 1422.34223
Suantai, Suthep; Ntouyas, Sotiris K.; Asawasamrit, Suphawat; Tariboon, Jessada
2015
Coincidence point and fixed point theorems for a new type of $$G$$-contraction multivalued mappings on a metric space endowed with a graph. Zbl 06584496
2015
Fuzzy fixed point theorems on the complete fuzzy spaces under supremum metric. Zbl 06584493
Suantai, Suthep; Petrot, Narin; Saksirikun, Warut
2015
Viscosity iteration method in CAT(0) spaces without the nice projection property. Zbl 1391.41019
Kaewkhao, Attapol; Panyanak, Bancha; Suantai, Suthep
2015
Existence and convergence theorems for $$\lambda$$-hybrid set-valued mappings in Hilbert spaces. Zbl 1321.47112
Suantai, Suthep; Phuengrattana, Withun
2015
Strong convergence theorems of a finite family of quasi-nonexpansive and Lipschitz multi-valued mappings. Zbl 1319.47061
Suantai, Suthep; Cholamjiak, Watcharaporn; Cholamjiak, Prasit
2015
Coincidence point theorems for graph-preserving multi-valued mappings. Zbl 1345.54075
Tiammee, Jukrapong; Suantai, Suthep
2014
Algorithms for solving generalized equilibrium problems and fixed points of nonexpansive semigroups in Hilbert spaces. Zbl 06316000
Suantai, Suthep; Cholamjiak, Prasit
2014
Fixed point theorems for monotone multi-valued mappings in partially ordered metric spaces. Zbl 1345.54076
Tiammee, Jukrapong; Suantai, Suthep
2014
Existence and convergence theorems for generalized hybrid mappings in uniformly convex metric spaces. Zbl 1305.54056
Phuengrattana, Withun; Suantai, Suthep
2014
Fixed point theorems for a semigroup of total asymptotically nonexpansive mappings in uniformly convex Banach spaces. Zbl 1306.47070
Suantai, Suthep; Phuengrattana, Withun
2014
Weak and strong convergence theorems of proximal point algorithm for solving generalized mixed equilibrium problems and finding zeroes of maximal monotone operators in Banach spaces. Zbl 1291.47057
Phuengrattana, Withun; Suantai, Suthep; Wattanawitoon, Kriengsak; Witthayarat, Uamporn; Kumam, Poom
2014
Comparison of the rate of convergence of various iterative methods for the class of weak contractions in Banach spaces. Zbl 1294.47090
Phuengrattana, Withun; Suantai, Suthep
2013
Iterative methods for solving equilibrium problems, variational inequalities and fixed points of nonexpansive semigroups. Zbl 1339.47082
Cholamjiak, Prasit; Suantai, Suthep
2013
Existence theorems for generalized asymptotically nonexpansive mappings in uniformly convex metric spaces. Zbl 1285.47060
Phuengrattana, Withun; Suantai, Suthep
2013
Common fixed points of an infinite family of nonexpansive mappings in uniformly convex metric spaces. Zbl 1305.47040
Phuengrattana, Withun; Suantai, Suthep
2013
Common fixed points of a finite family of multivalued quasi-nonexpansive mappings in uniformly convex Banach spaces. Zbl 1318.47084
Bunyawat, A.; Suantai, S.
2013
Weak and strong convergence theorems for a countable family of strict pseudocontractions in Banach spaces. Zbl 1275.47122
Cholamjiak, Prasit; Suantai, Suthep
2013
Halpern’s iteration for Bregman strongly nonexpansive mappings in reflexive Banach spaces. Zbl 1252.65100
Suantai, Suthep; Cho, Yeol Je; Cholamjiak, Prasit
2012
An implicit iteration process for solving a fixed point problem of a finite family of multi-valued mappings in Banach spaces. Zbl 06094499
Suantai, Suthep; Cholamjiak, Watcharaporn; Cholamjiak, Prasit
2012
Viscosity approximation methods for a nonexpansive semigroup in Banach spaces with gauge functions. Zbl 1252.47072
Cholamjiak, Prasit; Suantai, Suthep
2012
Fixed point theorems for a semigroup of generalized asymptotically nonexpansive mappings in CAT(0) spaces. Zbl 06236303
Phuengrattana, Withun; Suantai, Suthep
2012
Convergence theorems for infinite family of multivalued quasi-nonexpansive mappings in uniformly convex Banach spaces. Zbl 1237.47068
Bunyawat, Aunyarat; Suantai, Suthep
2012
On some $$I$$-convergent sequence spaces defined by a sequence of moduli. Zbl 1412.46011
Khan, Vakeel. A.; Suantai, Suthep; Ebadullah, Khalid
2012
Common fixed points of a countable family of multivalued quasi-nonexpansive mappings in uniformly convex Banach spaces. Zbl 1255.47062
Bunyawat, Aunyarat; Suantai, Suthep
2012
On a new $$I$$-convergent sequence space. Zbl 1263.46006
Khan, Vakeel A.; Ebadullah, Khalid; Suantai, Suthep
2012
Strong convergence theorems by monotone hybrid method for a family of generalized nonexpansive mappings in Banach spaces. Zbl 06137985
Klin-Eam, Chakkrid; Suantai, Suthep; Takahashi, Wataru
2012
Weak and strong convergence theorems for a finite family of generalized asymptotically quasinonexpansive nonself-mappings. Zbl 1281.47063
Yatakoat, P.; Suantai, S.
2012
Duality theorem for Banach-valued function spaces. Zbl 1270.46032
Rakbud, Jitti; Suantai, Suthep
2012
Convergence theorems for maximal monotone operators, weak relatively nonexpansive mappings and equilibrium problems. Zbl 1323.47074
Nammanee, Kamonrat; Suantai, Suthep; Cholamjiak, Prasit
2012
A hybrid method for a family of relatively quasi-nonexpansive mappings and an equilibrium problem in Banach spaces. Zbl 1273.90215
Cholamjiak, Prasit; Suantai, Suthep
2012
Strong convergence to solutions of generalized mixed equilibrium problems with applications. Zbl 1242.49024
Cholamjiak, Prasit; Suantai, Suthep; Cho, Yeol Je
2012
On the rate of convergence of Mann, Ishikawa, Noor and SP-iterations for continuous functions on an arbitrary interval. Zbl 1215.65095
Phuengrattana, Withun; Suantai, Suthep
2011
Composite iterative schemes for maximal monotone operators in reflexive Banach spaces. Zbl 1393.47028
Cholamjiak, Prasit; Cho, Yeol J.; Suantai, Suthep
2011
Existence and stability of iterative algorithms for the system of nonlinear quasi-mixed equilibrium problems. Zbl 1220.47125
Suantai, Suthep; Petrot, Narin
2011
Strong convergence for a countable family of strict pseudocontractions in -uniformly smooth Banach spaces. Zbl 1228.47058
Cholamjiak, Prasit; Suantai, Suthep
2011
Approximation of common fixed points of two quasi-nonexpansive multi-valued maps in Banach spaces. Zbl 1218.47097
Cholamjiak, Watcharaporn; Suantai, Suthep
2011
Equilibrium problems and fixed point problems for nonspreading-type mappings in Hilbert space. Zbl 1281.47060
Singthong, Urailuk; Suantai, Suthep
2011
Strong convergence theorems for a countable family of nonexpansive mappings in convex metric spaces. Zbl 1296.54083
Phuengrattana, Withun; Suantai, Suthep
2011
Existence and iteration for a mixed equilibrium problem and a countable family of nonexpansive mappings in Banach spaces. Zbl 1221.49003
Cholamjiak, Prasit; Suantai, Suthep
2011
Weak and strong convergence to common fixed points of a countable family of multi-valued mappings in Banach spaces. Zbl 06148533
Cholamjiak, Prasit; Cholamjiak, Watcharaporn; Cho, Yeol Je; Suantai, Suthep
2011
A new hybrid algorithm for a countable family of quasi-nonexpansive mappings and equilibrium problems. Zbl 1228.47059
Cholamjiak, Watcharaporn; Suantai, Suthep
2011
Strong convergence theorems for variational inequalities and fixed points of a countable family of nonexpansive mappings. Zbl 1315.47062
Bunyawat, Aunyarat; Suantai, Suthep
2011
Convergence analysis for a system of generalized equilibrium problems and a countable family of strict pseudocontractions. Zbl 1214.47066
Cholamjiak, Prasit; Suantai, Suthep
2011
A common fixed point of Ishikawa iteration with errors for two quasi-nonexpansive multi-valued maps in Banach spaces. Zbl 1314.47075
Cholamjiak, Watcharaporn; Suantai, Suthep
2011
Generalized projection algorithms for maximal monotone operators and relatively nonexpansive mappings in Banach spaces. Zbl 1256.47051
Klin-Eam, Chakkrid; Suantai, Suthep; Takahashi, Wataru
2011
Convergence analysis for a system of equilibrium problems and a countable family of relatively quasi-nonexpansive mappings in Banach spaces. Zbl 1206.47069
Cholamjiak, Prasit; Suantai, Suthep
2010
A hybrid method for a countable family of multivalued maps, equilibrium problems, and variational inequality problems. Zbl 1194.90104
Cholamjiak, Watcharaporn; Suantai, Suthep
2010
Weak convergence theorems for a countable family of strict pseudocontractions in Banach spaces. Zbl 1206.47070
Cholamjiak, Prasit; Suantai, Suthep
2010
Strong convergence of a new iterative scheme for a finite family of strict pseudo-contractions. Zbl 1201.65088
Kangtunyakarn, Atid; Suantai, Suthep
2010
An iterative method for equilibrium problems and a finite family of relatively nonexpansive mappings in a Banach space. Zbl 1368.47052
Cholamjiak, Prasit; Suantai, Suthep
2010
Fixed point theorems for nonexpansive mappings with applications to generalized equilibrium and system of nonlinear variational inequalities problems. Zbl 1413.47076
Cho, Yeol Je; Petrot, Narin; Suantai, Suthep
2010
A new approximation method for common fixed points of a finite family of asymptotically quasi-nonexpansive mappings in Banach spaces. Zbl 1201.65089
Kettapun, Atichart; Kananthai, Amnuay; Suantai, Suthep
2010
Strong convergence theorems for a general system of variational inequality problems, mixed equilibrium problems and fixed points problems with applications. Zbl 1205.65189
Imnang, S.; Suantai, S.
2010
A new general iterative method for a finite family of nonexpansive mappings in Hilbert spaces. Zbl 1204.47086
Singthong, Urailuk; Suantai, Suthep
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Strong convergence of composite iterative schemes for a countable family of nonexpansive mappings in Banach spaces. Zbl 1226.47080
Klin-Eam, Chakkrid; Suantai, Suthep
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# What is the ratio for the volume of two similar spheres?

## What is the ratio for the volume of two similar spheres?

Let a the side of the cube, so the smaller sphere has diameter a and the larger sphere has diameter a√3 (Pythagoras). Since the volume is proportional to the third power of the diameter, you have the ratio of the two sphere’s volumes as 33/2≃5.2 .

## How do you find similar volumes?

If two solids are similar, then the ratio of their volumes is equal to the cube of the ratio of their corresponding linear measures.

What is the ratio for volumes of two similar spheres given that the ratio of the radii is 3 4?

Two spheres have radii in a ratio of 3:4. What is the ratio of their volumes? If we cube 3 and 4, we will have the ratio of the volumes. Therefore, \begin{align*}3^3:4^3\end{align*} or 27:64 is the ratio of the volumes.

### What is the ratio for the volume of two similar spheres given that the ratio of their radii is 5 9?

Ratio of radii= 5:9. r1=5 , r2=9. Ratio of volume=>4/3πr1^3:4/3πr2^3.

### How do you find the ratio of volume to area ratio?

To calculate the S/V ratio, simply divide the surface area by the volume. We will examine the effect of size, shape, flattening an object, and elongating an object on surface-to- volume ratios.

What does AA similarity mean?

In two triangles, if two pairs of corresponding angles are congruent, then the triangles are similar . (Note that if two pairs of corresponding angles are congruent, then it can be shown that all three pairs of corresponding angles are congruent, by the Angle Sum Theorem.)

#### How do you do similarity?

If two pairs of corresponding angles in a pair of triangles are congruent, then the triangles are similar. We know this because if two angle pairs are the same, then the third pair must also be equal. When the three angle pairs are all equal, the three pairs of sides must also be in proportion.

#### What is a similarity ratio?

The RATIO OF SIMILARITY between any two similar figures is the ratio of any pair of corresponding sides. Simply stated, once it is determined that two figures are similar, all of their pairs of corresponding sides have the same ratio. An Equation that sets one ratio equal to another ratio is called a proportion.

What is the ratio of the volume of two similar polyhedral if the ratio of their area is 3 4?


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Categories

Integers | AIME I, 1993 Problem | Question 4

Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 1993 based on Integers.

Integer – AIME I, 1993

Find the number of four topics of integers (a,b,c,d) with 0<a<b<c<d<500 satisfy a+d=b+c and bc-ad=93.

• is 107
• is 870
• is 840
• cannot be determined from the given information

Key Concepts

Integers

Digits

Algebra

AIME I, 1993, Question 4

Elementary Algebra by Hall and Knight

Try with Hints

Let k=a+d=b+c

or, d=k-a, b=k-c,

or, (k-c)c-a(k-a)=k(c-a)-(c-a)(c+a)

=(a-c)(a+c-k)

=(c-a)(d-c)=93

(c-a)(d-c)=(1,93),(3,31),(31,3),(93,1)

solving for c

(a,b,c,d)=(c-93,c-92,c,c+1),(c-31,c-28,c,c+3),(c-1,c+92,c,c+93),(c-3,c+28,c,c+31)

taking first two solutions a<b<c<d<500

or,$1 \leq c-93, c+1 \leq 499$

or, $94 \leq c \leq 498$ gives 405 solutions

and $1 \leq c-31, c+3 \leq 499$

or, $32 \leq c \leq 496$ gives 465 solutions

or, 405+465=870 solutions.

Categories

Trapezoid Problem | AIME I, 1992 | Question 9

Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 1992 based on trapezoid.

Trapezoid – AIME I, 1992

Trapezoid ABCD has sides AB=92, BC=50,CD=19,AD=70 with AB parallel to CD. A circle with centre P on AB is drawn tangent to BC and AD. Given that AP=$\frac{m}{n}$, where m and n are relatively prime positive integers, find m+n.

• is 107
• is 164
• is 840
• cannot be determined from the given information

Key Concepts

Integers

Trapezoid

Angle Bisectors

AIME I, 1992, Question 9

Coordinate Geometry by Loney

Try with Hints

Let AP=y or, PB=92-y

extending AD and BC to meet at Y

and YP bisects angle AYB

Let F be point on CD where it meets

Taking angle bisector theorem,

let YB=z(92-y), YA=zy for some z

YD=zy-70, YC=z(92-y)-50

$\frac{yz-79}{z(92-y)-50}=\frac{YD}{YC}=\frac{FD}{FC}=\frac{AP}{PB}=\frac{y}{42-y}$

solving we get 120y=(70)(92)

or, AP=y=$\frac{161}{3}$

or, 161+3=164.

Categories

Problem on Fibonacci sequence | AIME I, 1988 | Question 13

Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 1988 based on Fibonacci sequence.

Fibonacci sequence Problem – AIME I, 1988

Find a if a and b are integers such that $x^{2}-x-1$ is a factor of $ax^{17}+bx^{16}+1$.

• is 107
• is 987
• is 840
• cannot be determined from the given information

Key Concepts

Integers

Digits

Sets

AIME I, 1988, Question 13

Elementary Number Theory by David Burton

Try with Hints

Let F(x)=$ax^{17}+bx^{16}+1$

Let P(x) be polynomial such that

$P(x)(x^{2}-x-1)=F(x)$

constant term of P(x) =(-1)

now $(x^{2}-x-1)(c_1x^{15}+c_2x^{14}+….+c_{15}x-1)$ where $c_{i}$=coefficient

comparing the coefficients of x we get the terms

since F(x) has no x term, then $c_{15}$=1

getting $c_{14}$

$(x^{2}-x-1)(c_1x^{15}+c_2x^{14}+….+c_{15}x-1)$

=terms +$0x^{2}$ +terms

or, $c_{14}=-2$

proceeding in the same way $c_{13}=3$, $c_{12}=-5$, $c_{11}=8$ gives a pattern of Fibonacci sequence

or, coefficients of P(x) are Fibonacci sequence with alternating signs

or, a=$c_1=F_{16}$ where $F_{16}$ is 16th Fibonacci number

or, a=987.

Categories

Problem on Complex plane | AIME I, 1988| Question 11

Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 1988 based on Complex Plane.

Problem on Complex Plane – AIME I, 1988

Let w_1,w_2,….,w_n be complex numbers. A line L in the complex plane is called a mean line for the points w_1,w_2,….w_n if L contains points (complex numbers) z_1,z_2, …..z_n such that $\sum_{k=1}^{n}(z_{k}-w_{k})=0$ for the numbers $w_1=32+170i, w_2=-7+64i, w_3=-9+200i, w_4=1+27i$ and $w_5=-14+43i$, there is a unique mean line with y-intercept 3. Find the slope of this mean line.

• is 107
• is 163
• is 634
• cannot be determined from the given information

Key Concepts

Integers

Equations

Algebra

AIME I, 1988, Question 11

Elementary Algebra by Hall and Knight

Try with Hints

$\sum_{k=1}^{5}w_k=3+504i$

and $\sum_{k-1}^{5}z_k=3+504i$

taking the numbers in the form a+bi

$\sum_{k=1}^{5}a_k=3$ and $\sum_{k=1}^{5}b_k=504$

or, y=mx+3 where $b_k=ma_k+3$ adding all 5 equations given for each k

or, 504=3m+15

or, m=163.

Categories

Problem on Real Numbers | AIME I, 1990| Question 15

Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 1990 based on Real Numbers.

Problem on Real Numbers – AIME I, 1990

Find $ax^{5}+by^{5}$ if real numbers a,b,x,y satisfy the equations

ax+by=3

$ax^{2}+by^{2}=7$

$ax^{3}+by^{3}=16$

$ax^{4}+by^{4}=42$

• is 107
• is 20
• is 634
• cannot be determined from the given information

Key Concepts

Integers

Equations

Algebra

AIME I, 1990, Question 15

Elementary Algebra by Hall and Knight

Try with Hints

Let S=x+y, P=xy

$(ax^{n}+by^{n})(x+y)$

$=(ax^{n+1}+by^{n+1})+(xy)(ax^{n-1}+by^{n-1})$

or,$(ax^{2}+by^{2})(x+y)=(ax^{3}+by^{3})+(xy)(ax+by)$ which is first equation

or,$(ax^{3}+by^{3})(x+y)=(ax^{4}+by^{4})+(xy)(ax^{2}+by^{2})$ which is second equation

or, 7S=16+3P

16S=42+7P

or, S=-14, P=-38

or, $(ax^{4}+by^{4})(x+y)=(ax^{5}+by^{5})+(xy)(ax^{3}+by^{3})$

or, $42S=(ax^{5}+by^{5})+P(16)$

or, $42(-14)=(ax^{5}+by^{5})+(-38)(16)$

or, $ax^{5}+by^{5}=20$.

Categories

Digits and Integers | AIME I, 1990 | Question 13

Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 1990 based on Digits and Integers.

Digits and Integers – AIME I, 1990

Let T={$9^{k}$: k is an integer, $0 \leq k \leq 4000$} given that $9^{4000}$ has 3817 digits and that its first (leftmost) digit is 9, how many elements of T have 9 as their leftmost digit?

• is 107
• is 184
• is 840
• cannot be determined from the given information

Key Concepts

Integers

Digits

Sets

AIME I, 1990, Question 13

Elementary Number Theory by David Burton

Try with Hints

here $9^{4000}$ has 3816 digits more than 9,

or, 4000-3816=184

or, 184 numbers have 9 as their leftmost digits.

Categories

Complex numbers and Sets | AIME I, 1990 | Question 10

Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 1990 based on Complex Numbers and Sets.

Complex Numbers and Sets – AIME I, 1990

The sets A={z:$z^{18}=1$} and B={w:$w^{48}=1$} are both sets of complex roots with unity, the set C={zw: $z \in A and w \in B$} is also a set of complex roots of unity. How many distinct elements are in C?.

• is 107
• is 144
• is 840
• cannot be determined from the given information

Key Concepts

Integers

Complex Numbers

Sets

AIME I, 1990, Question 10

Complex Numbers from A to Z by Titu Andreescue

Try with Hints

18th and 48th roots of 1 found by de Moivre’s Theorem

=$cis(\frac{2k_1\pi}{18})$ and $cis(\frac{2k_2\pi}{48})$

where $k_1$, $K_2$ are integers from 0 to 17 and 0 to 47 and $cis \theta = cos \theta +i sin \theta$

zw= $cis(\frac{k_1\pi}{9}+\frac{k_2\pi}{24})=cis(\frac{8k_1\pi+3k_2\pi}{72})$

and since the trigonometric functions are periodic every period ${2\pi}$

or, at (72)(2)=144 distinct elements in C.

Categories

Consecutive positive Integers | AIME I, 1990| Question 11

Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 1990 based on consecutive positive integers.

Consecutive positive integer – AIME I, 1990

Someone observed that 6!=(8)(9)(10). Find the largest positive integer n for which n! can be expressed as the product of n-3 consecutive positive integers.

• is 107
• is 23
• is 634
• cannot be determined from the given information

Key Concepts

Integers

Inequality

Algebra

AIME I, 1990, Question 11

Elementary Number Theory by David Burton

Try with Hints

The product of (n-3) consecutive integers=$\frac{(n-3+a)!}{a!}$ for a is an integer

$n!=\frac{(n-3+a)!}{a!}$ for $a \geq 3$ $(n-3+a)! \geq n!$

or, $n!=\frac{n!(n+1)(n+2)….(n-3+a)}{a!}$

for a=4, n+1=4! or, n=23 which is greatest here

n=23.

Categories

Convex polyhedron Problem | AIME I, 1988 | Question 10

Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 1988 based on convex polyhedron.

Convex polyhedron Problem – AIME I, 1988

A convex polyhedron has for its faces 12 squares, 8 regular hexagons, and 6 regular octagons. At each vertex of the polyhedron one square, one hexagon, and one octagon meet. How many segments joining vertices of the polyhedron lie in the interior of the polyhedron rather than along an edge or a face?

• is 107
• is 840
• is 634
• cannot be determined from the given information

Key Concepts

Integers

Edges

Algebra

AIME I, 1988, Question 10

Geometry Revisited by Coxeter

Try with Hints

${48 \choose 2}$=1128

Every vertex lies on exactly one vertex of a square/hexagon/octagon

V=(12)(4)=(8)(6)=(6)(8)=48

each vertex is formed by the trisection of three edges and every edge is counted twice, once at each of its endpoints, the number of edges E=$\frac{3V}{2}$=72

each of the segment on face of polyhedron is diagonal of that face, so each square gives $\frac{n(n-3)}{2}=2$ diagonals, each hexagon=9,each octagon=20. The number of diagonals is $(2)(12)+(9)(8)+(20)(6)$=216

or, number of space diagonals =1128-72-216=840.

Categories

Fair coin Problem | AIME I, 1990 | Question 9

Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 1990 based on fair coin.

Fair Coin Problem – AIME I, 1990

A fair coin is to be tossed 10 times. Let i|j, in lowest terms, be the probability that heads never occur on consecutive tosses, find i+j.

• is 107
• is 73
• is 840
• cannot be determined from the given information

Key Concepts

Integers

Combinatorics

Algebra

AIME I, 1990, Question 9

Elementary Algebra by Hall and Knight

Try with Hints

5 tails flipped, any less,

by Pigeonhole principle there will be heads that appear on consecutive tosses

(H)T(H)T(H)T(H)T(H)T(H) 5 tails occur there are 6 slots for the heads to be placed but only 5H remaining, ${6 \choose 5}$ possible combination of 6 heads there are

$\sum_{i=6}^{11}{i \choose 11-i}$=${6 \choose 5} +{7 \choose 4}+{8 \choose 3}+{9 \choose 2} +{10 \choose 1} +{11 \choose 0}$=144

there are $2^{10}$ possible flips of 10 coins

or, probability=$\frac{144}{1024}=\frac{9}{64}$ or, 9+64=73.