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

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.

کلیدواژه ها:

Menger probabilistic metric space ، probabilistic varphi-contraction ، coupled fixed points