Probabilistic Metric Space, Menger Space and Some Common Fixed Point Theorem

Krishnadhan Sarkar¹ , Dinanath Barman² , Mithun Paul³ , Kalishankar Tiwary⁴

Section:Research Paper, Product Type: Journal-Paper
Vol.6 , Issue.5 , pp.86-90, Oct-2019

Online published on Oct 31, 2019

Copyright © Krishnadhan Sarkar, Dinanath Barman, Mithun Paul, Kalishankar Tiwary . This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
 

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Abstract :
In this note we use the concept of semi compatible pair of reciprocal continuous maps in Probabilistic metric space and in Menger Space. We define existing definitions in this literature, and prove a common fixed point theorem in these spaces. Our results improve many well-known existing results in this literature

Key-Words / Index Term :
Probabilistic metric space, Menger space, Semi compatible maps, Reciprocal continuous maps

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