A common fixed point theorem in G-metric space by using sub-compatible maps

Manro, Saurabh

J. Math. Comput. Sci. 3 (2013), 322–331

A common fixed point theorem in G-metric space by using sub-compatible maps

Saurabh Manro

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Abstract

In this paper, we introduce the new concepts of subcompatibility and subsequencial continuity which are respectively weaker than occasionally weak compatibility and reciprocal continuity. With them, we establish a common fixed point theorem for four maps. We introduce an example to support our results. Our results extend the results of [1].

Published: 2 March 2013
Volume: 3 (2013)
License: CC BY 3.0

Copyright © 2013 Saurabh Manro. 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

S. Manro, A common fixed point theorem in G-metric space by using sub-compatible maps, J. Math. Comput. Sci. 3 (2013), 322–331.

BibTeX

@article{Manro2013,
  author  = {Manro, Saurabh},
  title   = {A common fixed point theorem in G-metric space by using sub-compatible maps},
  journal = {J. Math. Comput. Sci.},
  volume  = {3},
  year    = {2013},
  pages   = {322--331},
  doi     = {}
}