A New Fixed Point Theorem in FC-Metric Spaces with the Application to Saddle Points

Abstract

In this paper,with the help of the KKM technique,a new fixed point theorem for transfer compactly open valued mappings is established in FC-metric spaces.As applications,a maximal element theorem,an intersection theorem,a minimax inequality and a saddle point theorem are obtained in FC-metric spaces.Our results unify,improve and generalize some known results in recent references.