Open Access Research

Ky Fan minimax inequalities for set-valued mappings

Yu Zhang1* and Sheng-Jie Li1,2

Author Affiliations

1 College of Mathematics and Statistics, Chongqing University, Chongqing 401331, China

2 Mathematical Sciences Research Institute in Chongqing, Chongqing 401331, China

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Fixed Point Theory and Applications 2012, 2012:64 doi:10.1186/1687-1812-2012-64

Published: 19 April 2012

Abstract

In this article, by virtue of the Kakutani-Fan-Glicksberg fixed point theorem, two types of Ky Fan minimax inequalities for set-valued mappings are obtained. Some examples are given to illustrate our results.

Mathematics Subject Classification (2010): 49J35; 49K35; 90C47.

Keywords:
minimax inequality; fixed point theorem; set-valued mapping