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集值映象簇的不动点定理在广义矢量拟平衡问题组中的应用
Fixed Point Theorem of Set-valued Mappings with Applications to System of Generalized Vector Quasi-equilibrium Problems
【摘要】 在G-凸空间内引入了新的广义矢量拟平衡组问题,并运用非紧乘积G-凸空间内集值映象簇的不动点定理证明了这些广义矢量拟平衡问题组的平衡点的存在性.这些结论进一步推广了不动点定理的一些应用.
【Abstract】 In this paper,some new systems of generalized vector quasi-equilibrium problems are introduced in G-convex space.By applying the fixed point theorem of set-valued mappings of nocompact product G-convex space,some new existence theorems of system of generalized vector quasi-equilibrium problems are proved.These theorems improve and generalize some existing results of equilibrium and quasi-equilibrium problems in abstract convex spaces.
【关键词】 集值映象簇;
集值映象簇的不动点定理;
广义矢量拟平衡问题组;
乘积G-凸空间;
【Key words】 A family of set-valued mappings; Fixed point theorem of set-valued mappings; System of generalized vector quasi-equilibrium problems; Product G-convex space;
【Key words】 A family of set-valued mappings; Fixed point theorem of set-valued mappings; System of generalized vector quasi-equilibrium problems; Product G-convex space;
【基金】 四川省教育厅自然科学重点基金资助项目
- 【文献出处】 四川师范大学学报(自然科学版) ,Journal of Sichuan Normal University(Natural Science) , 编辑部邮箱 ,2006年06期
- 【分类号】O177.91
- 【被引频次】2
- 【下载频次】36