Generalized KKM theorems and common fixed point theorems

被引：16
|
作者：
Lin, Lai-Jiu [1 ]
Chuang, Chih-Sheng [1 ]
Yu, Zenn-Tsun [2 ]
机构：
[1] Natl Changhua Univ Educ, Dept Math, Changhua 50058, Taiwan
[2] Nan Kai Univ Technol, Dept Elect Engn, Nantour 542, Taiwan
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2011年 / 74卷 / 16期
关键词：
Generalized KKM; Generalized equi-KKM; Common fixed point theorem; MINIMAX INEQUALITIES; SPACES;
D O I：
10.1016/j.na.2011.05.044
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we first prove a generalized KKM theorem, and then use this generalized KKM theorem to establish the generalized equi-KKM theorem, common fixed point theorems for a family of multivalued maps, and the Kakutani-Fan-Glicksberg fixed point theorem. We also show that an existence theorem of the common fixed point theorem is equivalent to the Kakutani-Fan-Glicksberg fixed point theorem. (C) 2011 Elsevier Ltd. All rights reserved.
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页码：5591 / 5599
页数：9
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