G -凸空间中的广义对策和广义矢量拟平衡问题组

数学物理学报

G -凸空间中的广义对策和广义矢量拟平衡问题组

丁协平

四川师范大学数学与软件科学学院成都 610066

收稿日期:2004-03-18 修回日期:2005-05-23 出版日期:2006-08-25 发布日期:2006-08-25
通讯作者: 丁协平
基金资助:
四川省教育厅重点科研基金项目(2003A081)和SZD0406资助

Generalized Game and System of Generalized Vector Quasi-equilibrium Problems in G -convex Spaces

Ding Xieping

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

Received:2004-03-18 Revised:2005-05-23 Online:2006-08-25 Published:2006-08-25
Contact: Ding Xieping

摘要/Abstract

摘要： 该文在广义G -凸空间中引入并研究了一类新的广义矢量拟平衡问题组(SGVQEP).利用作者的一族集值映象的极大元存在定理,证明了广义对策的一个新的平衡存在定理.作为应用,在非紧乘积G -凸空间中证明了SGVQEP解的一些新的存在定理.

关键词: 极大元, 广义对策, 广义矢量拟平衡问题组, 乘积G -凸空间

Abstract: A new class of system of generalized vector quasi-equilibrium problems (SGVQEP) is introduced and studied in generalized convex spaces. By using an existence theorem of maximal elements for a family of set-valued mappings due to the author, a new equilibriu existence theorem for generalized games is proved. As applications, some new existence theorems of solutions for the SGVQEP are established in noncompact product G-convex spaces.

Key words: Maximal element, Generalized game, System of generalized vector quasi-equilibrium problems, Product G-convex spaces

中图分类号:

91A44

丁协平. G -凸空间中的广义对策和广义矢量拟平衡问题组[J]. 数学物理学报, 2006, 26(4): 506-515.

Ding Xieping.

Generalized Game and System of Generalized Vector Quasi-equilibrium Problems in G -convex Spaces

[J]. Acta mathematica scientia,Series A, 2006, 26(4): 506-515.

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