Probabilistic (omega, gamma, phi)-contractions and coupled coincidence point results

Abstract

In this paper, we introduce the notion of probabilistic (omega, gamma, phi)-contraction and establish the existence coupled coincidence points for mixed monotone operators subjected to the introduced contraction in the framework of ordered Menger PM-spaces with Hadzic type t-norm. As an application, a corresponding result in the setup of fuzzy metric space is also obtained.