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

doi:10.1016/S0252-9602(15)60005-4

数学物理学报(英文版) ›› 2015, Vol. 35 ›› Issue (2): 339-347.doi: 10.1016/S0252-9602(15)60005-4

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

丁协平

College of Mathematics and Software Science, Sichuan Normal University, Chengdu 610066, China

收稿日期:2013-12-03 修回日期:2014-05-05 出版日期:2015-03-20 发布日期:2015-03-20
基金资助:
Project was supported by the Scientific Research Fun of Sichuan Normal University (11ZDL01) and the Sichuan Province Leading Academic Discipline Project (SZD0406).

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

Xieping DING

College of Mathematics and Software Science, Sichuan Normal University, Chengdu 610066, China

Received:2013-12-03 Revised:2014-05-05 Online:2015-03-20 Published:2015-03-20
Supported by:
Project was supported by the Scientific Research Fun of Sichuan Normal University (11ZDL01) and the Sichuan Province Leading Academic Discipline Project (SZD0406).

摘要/Abstract

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.

关键词: Multi-leader-follower generalized constrained multiobjective games, collective fixed point theorem, locally FC-uniform space

Abstract:

Key words: Multi-leader-follower generalized constrained multiobjective games, collective fixed point theorem, locally FC-uniform space

中图分类号:

91A65

丁协平. EQUILIBRIUM EXISTENCE FOR MULTI-LEADER-FOLLOWER GENERALIZED CONSTRAINED MULTIOBJECTIVE GAMES IN LOCALLY FC-UNIFORM SPACES[J]. 数学物理学报(英文版), 2015, 35(2): 339-347.

Xieping DING. EQUILIBRIUM EXISTENCE FOR MULTI-LEADER-FOLLOWER GENERALIZED CONSTRAINED MULTIOBJECTIVE GAMES IN LOCALLY FC-UNIFORM SPACES[J]. Acta mathematica scientia,Series B, 2015, 35(2): 339-347.

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

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

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