摘要
By using an existence theorems of maximal elements for a family of set-valued mappings in G-convex spaces due to the author, some new nonempty intersection theorems for a family of set-valued mappings were established in noncompact product G-convex spaces. As applications, some equilibrium existence theorems for a system of generalized vector equilibrium problems were proved in noncompact product G-convex spaces. These theorems unify, improve and generalize some important known results in literature.
By using an existence theorems of maximal elements for a family of set_valued mappings in G_convex spaces due to the author, some new nonempty intersection theorems for a family of set_valued mappings were established in noncompact product G_convex spaces. As applications, some equilibrium existence theorems for a system of generalized vector equilibrium problems were proved in noncompact product G_convex spaces. These theorems unify, improve and generalize some important known results in literature.
出处
《应用数学和力学》
EI
CSCD
北大核心
2004年第6期563-571,共9页
Applied Mathematics and Mechanics
基金
theNationalNaturalScienceFoundationofChina (198710 59)
theNaturalScienceFoundationofEducationDepartmentofSichuanProvince ([2 0 0 0 ]2 5)
关键词
集值映象组
非空交定理
广义矢量平衡问题组
乘积G凸空间
family of set-valued mapping
nonempty intersection theorem
system of generalized vector equilibrium problem
product G-convex space
