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

Archives › Volume 3, Number 2 (2013)

Adv. Fixed Point Theory 3 (2013), 383–391

Noncompatible mappings in intuitionistic fuzzy metric space

Arihant Jain, Abhishek Sharma, Vandana Gupta, Ankita Tiwari

Abstract

The purpose of this paper is to obtain a common fixed point theorem for non-compatible mappings in Intuitionistic Fuzzy metric space using the concept of R-weak commutativity without assuming the completeness of the space or continuity of the mappings involved. We also find an affirmative answer in Intuitionistic Fuzzy metric space to the problem of Rhoades [7].

Published
1 July 2013
Volume
3 (2013)
License
CC BY 3.0

Copyright © 2013 Arihant Jain, Abhishek Sharma, Vandana Gupta, Ankita Tiwari. 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, A. Sharma, V. Gupta, A. Tiwari, Noncompatible mappings in intuitionistic fuzzy metric space, Adv. Fixed Point Theory 3 (2013), 383–391.

BibTeX
@article{Jain2013,
  author  = {Jain, Arihant and Sharma, Abhishek and Gupta, Vandana and Tiwari, Ankita},
  title   = {Noncompatible mappings in intuitionistic fuzzy metric space},
  journal = {Adv. Fixed Point Theory},
  volume  = {3},
  year    = {2013},
  pages   = {383--391},
  doi     = {}
}