GFC-度量空间中的GR-KKM定理及其对极大元的应用  

A GR-KKM Theorem in GFC-Metric Spaces with the Application to Maximal Elements

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：《应用数学》2017年第2期415-418,共4页Mathematica Applicata

基　　金：国家自然科学基金项目(11361003)

摘　　要：本文引入GFC-度量空间,建立GFC-度量空间中GR-KKM定理.作为应用,在非紧框架下,得到GFC-度量空间的相交点集、Ky Fan截口和极大元集为非空紧集.In this paper, GFC-metric spaces are introduced and a GR-KKM theorem is established in GFC-metric spaces. As applications, in noncompact settings, we obtain that intersection point sets, Ky Fan sections and maximal element sets are nonempty and compact in GFC-metric spaces.

关 键 词：GFC-度量空间 GR-KKM映射 相交 截口 极大元 

分 类 号：O177.91[理学—数学]