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

共 20 条

[1]

Basha SS, 2000, J APPROX THEORY, V103, P119

[2]

Border K. C., 1989, FIXED POINT THEOREMS

[3] EQUILIBRIA OF NONCOMPACT GENERALIZED GAMES WITH L-STAR-MAJORIZED PREFERENCE CORRESPONDENCES [J].

DING, XP ;

KIM, WK ;

TAN, KK .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1992, 164 (02) :508-517

[4] EXTENSIONS OF 2 FIXED POINT THEOREMS OF BROWDER,FE [J].

FAN, K .

MATHEMATISCHE ZEITSCHRIFT, 1969, 112 (03) :234-&

[5] Existence of best proximity pairs and equilibrium pairs [J].

Kim, WK ;

Lee, KH .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2006, 316 (02) :433-446

[6] The existence of nash equilibrium in n-person games with C-concavity [J].

Kim, WK ;

Lee, KH .

COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2002, 44 (8-9) :1219-1228

[7] Existence of best proximity pairs and equilibrium pairs (vol 316, pg 433, 2006) [J].

Kim, Won Kyu ;

Lee, Kyoung Hee .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 329 (02) :1482-1483

[8] FIXED-POINTS FOR KAKUTANI FACTORIZABLE MULTIFUNCTIONS [J].

LASSONDE, M .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1990, 152 (01) :46-60

[9]

NASH J, 1951, ANN MATH, V54, P286, DOI 10.2307/1969529

[10] EQUILIBRIUM POINTS IN N-PERSON GAMES [J].

NASH, JF .

PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 1950, 36 (01) :48-49

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