Common fixed point theorems in probabilistic metric spaces using implicit relation and property (E.A). (English) Zbl 1214.54037

Summary: The purpose of this paper is to obtain two common fixed point theorems for weakly compatible self-maps satisfying the property (E.A) using implicit relation in probabilistic metric spaces. Our results do not require either the completeness of the space or continuity of the maps.


54H25 Fixed-point and coincidence theorems (topological aspects)
47H10 Fixed-point theorems