EQUILIBRIUM EXISTENCE FOR MULTI-LEADER-FOLLOWER GENERALIZED CONSTRAINED MULTIOBJECTIVE GAMES IN LOCALLY FC-UNIFORM SPACES  

作　　者：丁协平 

机构地区：[1]College of Mathematics and Software Science,Sichuan Normal University

出　　处：《Acta Mathematica Scientia》2015年第2期339-347,共9页数学物理学报（B辑英文版）

基　　金：supported by the Scientific Research Fun of Sichuan Normal University(11ZDL01);the Sichuan Province Leading Academic Discipline Project(SZD0406)

摘　　要：In this article, we introduce and study some new classes of multi-leader-follower generalized constrained multiobjective games in locally FC-uniform spaces where the number of leaders and followers may be finite or infinite and the objective functions of the followers obtain their values in infinite-dimensional spaces. Each leader has a constrained correspondence. By using a collective fixed point theorem in locally FC-uniform spaces due to author, some existence theorems of equilibrium points for the multi-leader-follower generalized constrained multiobjective games are established under nonconvex settings. These results generalize some corresponding results in recent literature.In this article, we introduce and study some new classes of multi-leader-follower generalized constrained multiobjective games in locally FC-uniform spaces where the number of leaders and followers may be finite or infinite and the objective functions of the followers obtain their values in infinite-dimensional spaces. Each leader has a constrained correspondence. By using a collective fixed point theorem in locally FC-uniform spaces due to author, some existence theorems of equilibrium points for the multi-leader-follower generalized constrained multiobjective games are established under nonconvex settings. These results generalize some corresponding results in recent literature.

关 键 词：Multi-leader-follower generalized constrained multiobjective games collective fixed point theorem locally FC-uniform space 

分 类 号：O225[理学—运筹学与控制论] O231[理学—数学]