Common fixed point theorems and minimax inequalities in locally convex Hausdorff topological vector spaces

被引：8

作者：

Agarwal, Ravi P. ^{[1
]}

Balaj, Mircea ^{[2
]}

O'Regan, Donal ^{[3
]}

机构：

[1] Florida Inst Technol, Dept Math Sci, Melbourne, FL 32901 USA

[2] Univ Oradea, Dept Math, Oradea, Romania

[3] Natl Univ Ireland, Dept Math, Galway, Ireland

来源：

APPLICABLE ANALYSIS | 2009年 / 88卷 / 12期

关键词：

family of set-valued mappings generalized KKM; fixed point; minimax inequality; EQUILIBRIUM PROBLEMS; KKM PROPERTY; COINCIDENCE; EXISTENCE;

D O I：

10.1080/00036810903331874

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, we introduce the concept of a family of set-valued mappings generalized Knaster-Kuratowski-Mazurkiewicz (KKM) w.r.t. other family of set-valued mappings. We then prove that if X is a nonempty compact convex subset of a locally convex Hausdorff topological vector space and T and S are two families of self set-valued mappings of X such that S is generalized KKM w.r.t. T, under some natural conditions, the set-valued mappings S S have a fixed point. Other common fixed point theorems and minimax inequalities of Ky Fan type are obtained as applications.

引用

页码：1691 / 1699

页数：9

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