Coupled common fixed point theorems for $varphi$-contractions in probabilistic metric spaces and applications

Abstract

In this paper, we give some new coupled common fixed point theorems for probabilistic $varphi$-contractions in Menger probabilistic metric spaces. As applications of the main results, we obtain some coupled common fixed point theorems in usual metric spaces and fuzzy metric spaces. The main results of this paper improvethe corresponding results given by some authors. Finally, we give one example to illustrate the main results of this paper.