FC-空间中含伪单调集值映象的广义向量平衡问题(英文)  

Generalized Vector Equilibrium Problems with Pseudomonotone Set-valued Bifunctions in FC-spaces

作　　者：冯海荣[1] 丁协平[2] 

机构地区：[1]西南交通大学经济管理学院,四川成都610031 [2]四川师范大学数学与软件科学学院,四川成都610066

出　　处：《应用泛函分析学报》2009年第2期97-105,共9页Acta Analysis Functionalis Applicata

基　　金：supported by the NSF of Sichuan Education Department of China(2003A081)

摘　　要：在FC-空间内引入和研究了几类含伪单调集值映象的广义向量平衡问题.利用第二作者的KKM定理,在FC-空间内对这些广义向量平衡问题证明了平衡点的存在性定理,改进与推广了近期文献中的相应结果.We study some classes of generalized vector equilibrium problems with pseudomonotone set valued bifunctions in FC-spaces. By using an KKM theorem due to second author, some existence results of equilibrium points for the generalized vector equilibrium problems are established in FC-spaces. These results generalize many known results in recent literature.

关 键 词：广义向量平衡问题 广义R-KKM映象 伪单调集值映象 FC-空间 

分 类 号：O117.92[理学—数学]