CONSTRAINED MULTIOBJECTIVE GAMES IN LOCALLY CONVEX H-SPACES  

作　　者：丁协平 

机构地区：[1]Department of Mathematics, Sichuan Normal University

出　　处：《Applied Mathematics and Mechanics(English Edition)》2003年第5期499-508,共10页应用数学和力学（英文版）

基　　金：theNationalNaturalScienceFoundationofChina (1 9871 0 59) ;theNaturaScienceFoundationofEducationDepartmentofSichuanProvince ([2 0 0 0 ]2 5)

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.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.

关 键 词：constrained multiobjective game maximum theorem fixed point weighted Nash-equilibria Pareto equilibria locally convex H-space 

分 类 号：O225[理学—运筹学与控制论]