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Advances in Fixed Point Theory ISSN 1927-6303 (Print)

Archives › Volume 3, Number 3 (2013)

Adv. Fixed Point Theory 3 (2013), 556–567

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

Arihant Jain, Mridula Jain

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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.

Published
26 September 2013
Volume
3 (2013)
License
CC BY 3.0

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.

Cite this article

A. Jain, M. Jain, Sub-compatible maps and common fixed point theorem in 2 non-archimedean Menger PM-space, Adv. Fixed Point Theory 3 (2013), 556–567.

BibTeX
@article{Jain2013,
  author  = {Jain, Arihant and Jain, Mridula},
  title   = {Sub-compatible maps and common fixed point theorem in 2 non-archimedean Menger PM-space},
  journal = {Adv. Fixed Point Theory},
  volume  = {3},
  year    = {2013},
  pages   = {556--567},
  doi     = {}
}