摘要
借助开图、闭图以及上(下)半连续等概念,在拓扑空间中得到几类紧闭值映射.运用有限连续拓扑空间(简称FC-空间)中得到的Fan-Browder型不动点定理,在非紧FC-空间中证明了一些新的抽象广义矢量平衡问题解的存在定理.
By applying the concepts of open（closed） graph and upper（lower） semicontinuous set-valued mapping,several classes set-valued mappings of compactly closed valued are obtained in topological spaces.Using the Fan Browder type fixed point theorems in finitely continuous topolgical spaces（in short FC-space）,the new existence theorems of some abstract generalized vector equilibrium problems are proved in noncompact topological spaces.
出处
《西南师范大学学报（自然科学版）》
CAS
CSCD
北大核心
2009年第5期45-48,共4页
Journal of Southwest China Normal University(Natural Science Edition)
基金
长江师范学院资助项目
关键词
有限连续拓扑空间
不动点定理
抽象矢量平衡问题
存在性
紧闭值映射
finitely continuous topolgical space
fixed-point theorems
vector equilibrium problems
the existence
compactly close-valued mappings
