Common fixed point theorems for sub-sequential continuous mapping in fuzzy metric space
Abstract
The present paper deals with common fixed point theorems in fuzzy metric spaces employing the notion of sub-sequentially continuity. Moreover we have to show that in the context of sequentially continuity, the notion of compatibility and semi-compatibility of maps becomes equivalent. Our result improves recent results of Singh & Jain [13] in the sense that all maps involved in the theorems are discontinuous even at common fixed point.
Copyright © 2013 Arihant Jain, Bijendra Singh, Preeti Sengar. 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, B. Singh, P. Sengar, Common fixed point theorems for sub-sequential continuous mapping in fuzzy metric space, Adv. Fixed Point Theory 3 (2013), 141–150.
BibTeX
@article{Jain2013,
author = {Jain, Arihant and Singh, Bijendra and Sengar, Preeti},
title = {Common fixed point theorems for sub-sequential continuous mapping in fuzzy metric space},
journal = {Adv. Fixed Point Theory},
volume = {3},
year = {2013},
pages = {141--150},
doi = {}
}