Generalized constrained multiobjective games in locally FC-uniform spaces  

作　　者：丁协平 黎进三 姚任之 

机构地区：[1]College of Mathematics and Software Science,Sichuan Normal University [2]Department of Applied Mathematics,National Sun Yat-sen University

出　　处：《Applied Mathematics and Mechanics(English Edition)》2008年第3期301-309,共9页应用数学和力学（英文版）

基　　金：the Natural Science Foundation of Education Department of Sichuan Province of China(No.07ZA092);the Foundation of Taiwan Science Council

摘　　要：A new class of generalized constrained multiobjective games is introduced and studied in locally FC-uniform spaces without convexity structure where the number of players may be finite or infinite and all payoff functions get their values in an infinite-dimensional space. By using a Himmelberg type fixed point theorem in locally FC-uniform spaces due to author, some existence theorems of weak Paxeto equilibria for the generalized constrained multiobjective games are established in locally FC-uniform spaces. These theorems improve, unify and generalize the corresponding results in recent literatures.A new class of generalized constrained multiobjective games is introduced and studied in locally FC-uniform spaces without convexity structure where the number of players may be finite or infinite and all payoff functions get their values in an infinite-dimensional space. By using a Himmelberg type fixed point theorem in locally FC-uniform spaces due to author, some existence theorems of weak Paxeto equilibria for the generalized constrained multiobjective games are established in locally FC-uniform spaces. These theorems improve, unify and generalize the corresponding results in recent literatures.

关 键 词：locally FC-uniform space fixed point generalized constrained multiobjective game weak Pareto equilibria 

分 类 号：O221.2[理学—运筹学与控制论] O177.92[理学—数学]