New generalizations of basic theorems in the KKM theory

被引：18
作者：
Park, Sehie [1 ,2 ]
机构：
[1] Seoul Natl Univ, Dept Math Sci, Seoul 151747, South Korea
[2] Natl Acad Sci, Seoul 137044, South Korea
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2011年 / 74卷 / 09期
关键词：
Intersectionally closed; Unionly open; Abstract convex space; Geometric lemma; Fixed point; Maximal element; Minimax inequality; Variational inequality; MAXIMAL ELEMENTS; FOUNDATIONS; SETS;
D O I：
10.1016/j.na.2011.01.020
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In the present paper, we obtain a new KKM type theorem for intersectionally closed-valued KKM maps and some useful new basic consequences. Typical examples of them are abstract forms of Fan's matching theorem, Fan's geometric lemma, the Fan-Browder fixed point theorem, maximal element theorems, Fan's minimax inequality, variational inequalities, and others. (c) 2011 Elsevier Ltd. All rights reserved.
引用
收藏
页码：3000 / 3010
页数：11
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