Geometric properties, minimax inequalities, and fixed point theorems on convex spaces-Reference-Cited by-同舟云学术

Geometric properties, minimax inequalities, and fixed point theorems on convex spaces

Published:1994 Issue:2 Volume:121 Page:429-439
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Park Sehie,Bae Jong Sook,Kang Hoo Kyung

Abstract

Using a selection theorem, we obtain a very general Ky Fan type geometric property of convex sets and apply it to the existence of maximizable quasiconcave functions, new minimax inequalities, and fixed point theorems for upper hemicontinuous multifunctions. Our results generalize works of Ha, Fan, Jiang, Himmelberg, and many others.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1994-121-02/S0002-9939-1994-1231303-6/S0002-9939-1994-1231303-6.pdf

Reference28 articles.

1. Existence of maximizable quasiconcave functions on paracompact convex spaces;Bellenger, J. C.;J. Math. Anal. Appl.,1987

2. The coincidence problem for compositions of set-valued maps;Ben-El-Mechaiekh, H.;Bull. Austral. Math. Soc.,1990

3. Points fixes et coïncidences pour les applications multivoques (applications de Ky Fan);Ben-El-Mechaiekh, Hichem;C. R. Acad. Sci. Paris S\'{e}r. I Math.,1982

4. Points fixes et coïncidences pour les applications multivoques (applications de Ky Fan);Ben-El-Mechaiekh, Hichem;C. R. Acad. Sci. Paris S\'{e}r. I Math.,1982

5. A new generation of the Schauder fixed point theorem;Browder, Felix E.;Math. Ann.,1967

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