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拓扑空间中有上下界的广义拟平衡问题
引用本文:何蓉华.拓扑空间中有上下界的广义拟平衡问题[J].四川师范大学学报(自然科学版),2007,30(4):447-449.
作者姓名:何蓉华
作者单位:成都信息工程学院,计算机科学系,四川,成都,610103;四川师范大学,数学与软件科学学学院,四川,成都,610066
摘    要:应用拓扑空间中的广义C-KKM型定理和广义C-S-KKM型定理,非紧拓扑空间中有上下界的广义拟平衡问题解的存在性定理.这些定理推广了近期文献中的结果.

关 键 词:拓扑空间  有上下界的广义拟平衡问题  广义C-KKM映象  广义C-S-KKM映象  广义C-有界拟凸
文章编号:1001-8395(2007)04-0447-03
收稿时间:2005-06-10
修稿时间:2005-06-10

Generalized Quasi-equilibrium Problems with Lower and Upper Bounds in Topological Spaces
HE Rong-hua.Generalized Quasi-equilibrium Problems with Lower and Upper Bounds in Topological Spaces[J].Journal of Sichuan Normal University(Natural Science),2007,30(4):447-449.
Authors:HE Rong-hua
Institution:1. Department of Computation Science, Chengdu University of Information Technology, Chengdu 610103, Sichuan ; 2. College of Mathematics and Software Science, Sichuan Normal University, Chengdu 610066, Sichuan
Abstract:In this paper, by using generalized C-KKM type theorems and generalized C-S-KKM type theorems, some existence theorems of solution for generalized quasi-equilibrium problems with lower and upper bounds are obtained under the noneompaet setting of topological spaces. These theorems improve some known results in the recent literature.
Keywords:Topological spaces  Generalized quasi-equilibrium problems with lower and upper bounds  Mapping of generalized C-KKM type  Mapping of generalized C-S-KKM type  Generalized C-bounds quasiconvex
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