A coincidence point result in Menger spaces using a control function

作者：Choudhury Binayak S; Das Krishnapada^*

来源：Chaos Solitons & Fractals, 2009, 42(5): 3058-3063.

DOI：10.1016/j.chaos.2009.04.020

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} = 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.

• 出版日期2009-12-15