有限度量紧开值集值映射的R-KKM定理及其对不动点的应用  

R-KKM Theorems of Mappings with Finitely Metrically Compact-Open Values and Their Application to Fixed Points

作　　者：文开庭[1] 李和睿[1] 

机构地区：[1]毕节学院建筑工程学院,贵州毕节551700

出　　处：《西南大学学报（自然科学版）》2011年第10期110-112,共3页Journal of Southwest University(Natural Science Edition)

基　　金：贵州省教育厅重点资助项目(2008072);贵州省自然科学基金项目([2011]2093)

摘　　要：在非紧FC-度量空间中建立了有限度量紧开值集值映射的R-KKM定理.作为应用,获得了非紧FC-度量空间中有限度量紧开(闭)值集值映射的匹配定理、重合定理和不动点定理.In this paper,an R-KKM theorem of mappings with finitely metrically compact-open values is established in noncompact FC-metric spaces.As their applications,matching theorems,coincidence theorems and fixed point theorems of mappings with finitely metrically compact-open closed values are obtained in noncompact FC-metric spaces.

关 键 词：FC-度量空间 R-KKM映射 匹配 重合 不动点 

分 类 号：O177.91[理学—数学]