^{1}Department of Mathematics and Physics, North China Electric Power University, Baoding, China

^{2}Department of Mathematics, King Abdulaziz University, Jeddah, Saudi Arabia

^{3}Department of Education Mathematics and RINS, Gyeongsang National University, Jinju, Korean

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 improve the corresponding results given by some authors. Finally, we give one example to illustrate the main results of this paper.

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