Some results for the family 2-g KKM(X, Y) and the Φ-mapping in hyperconvex metric spaces

被引：2

作者：

Chen, Chi-Ming ^{[1
]}

Chang, Tong-Huei ^{[1
]}

机构：

[1] Natl HsinChu Univ Educ, Dept Appl Math, Hsinchu, Taiwan

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2008年 / 69卷 / 08期

关键词：

Hyperconvex metric space; 2-(g) KKM mapping; Fixed point theorem; Variational inequality theorem; Minimax inequality theorem;

D O I：

10.1016/j.na.2007.08.033

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this work, we first define the generalized 2-gKKM mapping and the family 2-gKKM(X. Y) in a hyperconvex metric space, and we get a fixed point theorem on this family without compact assumption. Next, we establish some variational inequalities and minimax inequalities for the family 2-gKKM(X, Y) and the Phi-mapping. (C) 2008 Published by Elsevier Ltd

引用

页码：2533 / 2540

页数：8

共 46 条

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