SYSTEM OF GENERALIZED VECTOR QUASI-EQUILIBRIUM PROBLEMS ON PRODUCT FC-SPACES

数学物理学报(英文版)

SYSTEM OF GENERALIZED VECTOR QUASI-EQUILIBRIUM PROBLEMS ON
PRODUCT FC-SPACES

丁协平

四川师范大学数学与软件学院, 成都 610066

收稿日期:2005-05-11 修回日期:1900-01-01 出版日期:2007-07-20 发布日期:2007-07-20
通讯作者: 丁协平
基金资助:
This project was supported by the NSF of Sichuan Education of China (2003A081) and SZD0406

SYSTEM OF GENERALIZED VECTOR QUASI-EQUILIBRIUM PROBLEMS ON
PRODUCT FC-SPACES

Ding Xieping

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

Received:2005-05-11 Revised:1900-01-01 Online:2007-07-20 Published:2007-07-20
Contact: Ding Xieping

摘要/Abstract

摘要： By applying a maximal element theorem on product FC-space due to author, some new equilibrium existence theorems for generalized games with fuzzy constraint correspondences are proved in FC-spaces. By using these equilibrium existence theorems, some new existence theorems of solutions for the system of generalized vector quasi-equilibrium problems are established in noncompact product FC-spaces. These results improve and
generalize some recent results in literature to product FC-spaces without any convexity structure.

关键词: Maximal element, generalized game, equilibrium, system of generalized vector quasi-equilibrium problems, FC-spaces

Abstract: By applying a maximal element theorem on product FC-space due to author, some new equilibrium existence theorems for generalized games with fuzzy constraint correspondences are proved in FC-spaces. By using these equilibrium existence theorems, some new existence theorems of solutions for the system of generalized vector quasi-equilibrium problems are established in noncompact product FC-spaces. These results improve and
generalize some recent results in literature to product FC-spaces without any convexity structure.

Key words: Maximal element, generalized game, equilibrium, system of generalized vector quasi-equilibrium problems, FC-spaces

中图分类号:

91B50

丁协平. SYSTEM OF GENERALIZED VECTOR QUASI-EQUILIBRIUM PROBLEMS ON
PRODUCT FC-SPACES[J]. 数学物理学报(英文版), 2007, 27(3): 522-534.

Ding Xieping. SYSTEM OF GENERALIZED VECTOR QUASI-EQUILIBRIUM PROBLEMS ON
PRODUCT FC-SPACES[J]. Acta mathematica scientia,Series B, 2007, 27(3): 522-534.

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SYSTEM OF GENERALIZED VECTOR QUASI-EQUILIBRIUM PROBLEMS ON
PRODUCT FC-SPACES

SYSTEM OF GENERALIZED VECTOR QUASI-EQUILIBRIUM PROBLEMS ON
PRODUCT FC-SPACES

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