Some common fixed point theorems in fuzzy metric spaces
Abstract
The aim of this paper is to prove some common fixed point theorems in (GV)-fuzzy metric spaces.While proving our results, we employed the idea of compatibility due to Jungck [14] together with subsequentially continuity due to Bouhadjera and Godet-Thobie [4] respectively (also alternately reciprocal continuity due to Pant [28] together with subcompatibility due to Bouhadjera and Godet-Thobie [4] as in Imdad et al. [12] wherein conditions on completeness of the underlying space (or subspaces) together with conditions on continuity in respect of any one of the involved maps are relaxed. Our results substantially generalize and improve a multitude of relevant common fixed point theorems of the existing literature in metric as well as fuzzy metric spaces which include some relevant results due to Imdad et al.[10], Mihet [18], Mishra [19], Singh [28] and several others.
Copyright © 2012 Deepak Singh, mayank sharma, Ramakant Sharma, Naval Singh. 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
D. Singh, m. sharma, R. Sharma, N. Singh, Some common fixed point theorems in fuzzy metric spaces, Adv. Fixed Point Theory 2 (2012), 92–107.
BibTeX
@article{Singh2012,
author = {Singh, Deepak and sharma, mayank and Sharma, Ramakant and Singh, Naval},
title = {Some common fixed point theorems in fuzzy metric spaces},
journal = {Adv. Fixed Point Theory},
volume = {2},
year = {2012},
pages = {92--107},
doi = {}
}