弱FC-KKM映射与聚合不动点定理

Weakly FC-KKM Mappings and Collectively Fixed Point Theorems

在FC-空间中引入和研究了弱FC-KKM映射和具有弱FC-KKM性质的映射类.并在非紧局部FC-空间中对具有弱FC-KKM性质的映射建立了一些新的不动点定理和聚合不动点定理.作为应用,给出了聚合不动点定理在矢量平衡问题组中的应用.

The weakly FC-KKM mappings and the class of mappings with the weakly FC-KKM property are introduced and studied in FC-space. Some new fixed point theorems and eolleetively fixed point theorems involving the mapping with the weakly FC-KKM property is established in noncompact locally FC- spaces. By using the collectively fixed point theorem, the existence theorems of some new system of vector equilibrium problems are obtained.