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

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.