Weakly FC-KKM Mappings and Collectively Fixed Point Theorems
Zheng Lian · Journal of Southwest China Normal University · 2007
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 collectively 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.