GFC-空间中的GFs-KKM定理及其对重合问题的应用（英文）  

A GFs-KKM Theorem in GFC-Spaces and Applications to Coincidence Problems

作　　者：文开庭 

机构地区：[1]贵州工程应用技术学院土木建筑工程学院,贵州毕节551700

出　　处：《应用数学》2015年第3期533-539,共7页Mathematica Applicata

基　　金：Supported by the Natural Science Foundation of China(11361003);Natural Scientific Research Foundation of Guizhou Province Education Department of China((2012)058)

摘　　要：在GFC-空间中引入GFs-KKM映射,建立GFs-KKM定理.作为应用,获得GFC-空间中广义γ-GFs-对角拟凹弱γ-转移紧下半连续泛函的变分不等式、弱转移紧闭集的几何截口定理和弱转移紧开值集值映射的重合定理.我们的结论统一、改进和推广了一些近期文献的已知结果.In this paper, the GFs-KKM mapping is introduced and a GFs-KKM theorem is established in GFC-spaces.As applications, a variational inequality for generalized γ- GFs-diagonally quasiconcave weakly γ-transfer compactly lower semicontinuous functions, a geometric section theorem for weakly transfer compactly closed sets and a coincidence theorem for weakly transfer compactly open valued mappings axe obtained in GFC-spaces. Our results unify, improve and generalize some known results in recent reference.

关 键 词：GFC-空间 GFs-KKM映射 变分不等式 截口 重合 弱转移紧开(闭) 

分 类 号：O177.91[理学—数学]