CONSTRAINED MULTIOBJECTIVE GAMES IN LOCALLY CONVEX H-SPACES

Applied Mathematics and Mechanics (English Edition) ›› 2003, Vol. 24 ›› Issue (5): 499-508.

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CONSTRAINED MULTIOBJECTIVE GAMES IN LOCALLY CONVEX H-SPACES

丁协平

Department of Mathematics, Sichuan Normal University, Chengdu 610066, P.R.China

收稿日期:2001-07-06 修回日期:2003-03-07 出版日期:2003-05-18 发布日期:2003-05-18
基金资助:
the National Natural Science Foundation of China(19871059); the Natural Science Foundation of Education Department of Sichuan Province([2000]25)

CONSTRAINED MULTIOBJECTIVE GAMES IN LOCALLY CONVEX H-SPACES

DING Xie-ping

Department of Mathematics, Sichuan Normal University, Chengdu 610066, P.R.China

Received:2001-07-06 Revised:2003-03-07 Online:2003-05-18 Published:2003-05-18
Supported by:
the National Natural Science Foundation of China(19871059); the Natural Science Foundation of Education Department of Sichuan Province([2000]25)

摘要/Abstract

摘要： A new class of constrained multiobjective games with infinite players in noncompact locally convex H-spaces without linear structure are introduced and studied.By applying a Fan-Glicksberg type fixed point theorem for upper semicontinuous set-valued mappings with closed acyclic values and a maximum theorem,several existence theorems of weighted Nath-equilibria and Pareto equilibria for the constrained multiobjective games are proved in noncompact locally convex H-spaces.These theorems improve,unify and generalize the corresponding results of the multiobjective games in recent literatures.

Abstract: A new class of constrained multiobjective games with infinite players in noncompact locally convex H-spaces without linear structure are introduced and studied.By applying a Fan-Glicksberg type fixed point theorem for upper semicontinuous set-valued mappings with closed acyclic values and a maximum theorem,several existence theorems of weighted Nath-equilibria and Pareto equilibria for the constrained multiobjective games are proved in noncompact locally convex H-spaces.These theorems improve,unify and generalize the corresponding results of the multiobjective games in recent literatures.

中图分类号:

O255
O177.92

丁协平. CONSTRAINED MULTIOBJECTIVE GAMES IN LOCALLY CONVEX H-SPACES[J]. Applied Mathematics and Mechanics (English Edition), 2003, 24(5): 499-508.

DING Xie-ping. CONSTRAINED MULTIOBJECTIVE GAMES IN LOCALLY CONVEX H-SPACES[J]. Applied Mathematics and Mechanics (English Edition), 2003, 24(5): 499-508.

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CONSTRAINED MULTIOBJECTIVE GAMES IN LOCALLY CONVEX H-SPACES

CONSTRAINED MULTIOBJECTIVE GAMES IN LOCALLY CONVEX H-SPACES

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