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

页码：3000 / 3010

页数：11

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