A coincidence point result in Menger spaces using a control function

Binayak S. Choudhury and Krishnapada Das

Chaos, Solitons & Fractals, 2009, vol. 42, issue 5, 3058-3063

Abstract: 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.

Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:42:y:2009:i:5:p:3058-3063

DOI: 10.1016/j.chaos.2009.04.020

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