A geometric property of convex sets with applications to minimax type inequalities and fixed point theorems-Reference-Cited by-同舟云学术

A geometric property of convex sets with applications to minimax type inequalities and fixed point theorems

Published:1988-10 Issue:2 Volume:45 Page:169-183
ISSN:0263-6115
Container-title:Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics
language:en
Short-container-title:J Aust Math Soc A

Author:

Shih Mau-Hsiang,Tan Kok-Keong

Abstract

AbstractA geometric property of convex sets which is equivalent to a minimax inequality of the Ky Fan type is formulated. This property is used directly to prove minimax inequalities of the von Neumann type, minimax inequalities of the Fan-Kneser type, and fixed point theorems for inward and outward maps.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics,Statistics and Probability

Reference27 articles.

1. Minimax Theorems

2. Nonlinear variational inequalities and fixed point theorems

3. On a sharpened form of the Schauder fixed-point theorem

4. On general minimax theorems

5. Zur Theorie der Gesellschaftsspiele

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