GFC-度量空间中的GR-KKM定理及其对重合问题的应用  

A GR-KKM Theorem in GFC-Metric Spaces and Its Application to Coincidence Problems

作　　者：文开庭 

机构地区：[1]贵州工程应用技术学院图书馆,贵州毕节551700

出　　处：《西南大学学报（自然科学版）》2017年第11期59-63,共5页Journal of Southwest University(Natural Science Edition)

基　　金：国家自然科学基金项目(11361003)

摘　　要：引入了GFC-度量空间,建立了GFC-度量空间中的GR-KKM定理.作为应用,在非紧框架下得到GFC-度量空间中的极大元集、变分不等式解集和重合点集为非空紧集.In this paper,the GFC-metric space is introduced and a GR-KKM theorem in it is established.As applications,in noncompact settings,we obtain that maximal element sets,solution sets of variational inequalities and coincidence sets in GFC-metric spaces are nonempty and compact.

关 键 词：GFC-度量空间 GR-KKM映射 极大元 变分不等式 重合 

分 类 号：O177.91[理学—数学]