Sub-compatible maps and common fixed point theorem in 2 non-archimedean Menger PM-space

Arihant Jain, Mridula Jain

Abstract


The object of this paper is to establish common fixed point theorems for four self maps using the concepts of compatible maps, sub-sequential continuous maps, sub-compatible maps, reciprocally continuous maps and conditionally reciprocally continuous maps in a 2 non-Archimedean Menger PM-space. Our results extend and generalize the result of Bouhadjera  et. al. [1] from metric space to 2 N.A. Menger PM-space.  We also furnish an example in support of our result.

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How to Cite this Article:

Arihant Jain, Mridula Jain, Sub-compatible maps and common fixed point theorem in 2 non-archimedean Menger PM-space, Advances in Fixed Point Theory, Vol 3, No 3 (2013), 556-567

Copyright © 2013 Arihant Jain, Mridula Jain. 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.

Advances in Fixed Point Theory

ISSN: 1927-6303

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