Best proximity pairs and equilibrium pairs for Kakutani multimaps

被引：73

作者：

Al-Thagafi, M. A. ^{[1
]}

Shahzad, Naseer ^{[1
]}

机构：

[1] King Abdul Aziz Univ, Dept Math, Jeddah 21589, Saudi Arabia

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2009年 / 70卷 / 03期

关键词：

Best proximity pair; Equilibrium pair; Free n-person game; Kakutani multimap; Fixed point; APPROXIMATION THEOREM; FIXED-POINTS; MULTIFUNCTIONS; EXISTENCE; EXTENSIONS; GAMES;

D O I：

10.1016/j.na.2008.02.004

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

New existence theorems of best proximity pairs for a finite family of Kakutani multimaps are proved in a normed space setting. As applications, new existence theorems of equilibrium pairs for free n-person and 1-person games are obtained, Our results generalize and improve several well-known results. (C) 2008 Elsevier Ltd. All rights reserved.

引用

页码：1209 / 1216

页数：8

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