A coincidence point result in Menger spaces using a control function

In the present work we prove a coincidence point theorem in Menger spaces with a t-norm T   which satisfies the condition sup{T(t,t):t<1}=1sup{T(t,t):t<1}=1. As a corollary of our theorem we obtain some existing results in metric spaces and probabilistic metric spaces. Particularly our result implies a probabilistic generalization of Banach contraction mapping theorem. We also support our result by an example.