Weak Compatible and Reciprocally Continuous Maps in Non-Archimedean Menger PM-Space

Jaya Singh Kushwah¹

Section:Research Paper, Product Type: Isroset-Journal
Vol.3 , Issue.2 , pp.1-8, Apr-2016

Online published on May 22, 2016

Copyright © Jaya Singh Kushwah . 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 paper, we introduce weak-compatible maps and reciprocally continuous maps in weak non-Archimedean PM-spaces and establish a common fixed point theorem for such maps. Our result generalizes several fixed point theorems in the sense that all maps involved in the theorem can be discontinuous even at the common fixed point.

Key-Words / Index Term :
Non-Archimedean Menger probabilistic metric space, Common fixed points, Compatible maps, Weakly Compatible, reciprocally continuous maps

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