Common fixed-point theorem in triangular intuitionistic fuzzy metric spaces
Abstract
The goal of this paper is to prove a new general common fixed-point theorem for two pairs of mappings under different conditions, based on the idea of weakly compatible mappings satisfying a general class of contractions defined by an implicit relation in the framework of triangular intuitionistic fuzzy metric space, which unifies, extends, and generalises most of the existing relevant common fixed-point theorems in the literature. There are also some related results and an illustrated case to demonstrate the realised improvements.
Copyright © 2022 Shruti Ektare, Amit Kumar Pandey. 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. Ektare, A. K. Pandey, Common fixed-point theorem in triangular intuitionistic fuzzy metric spaces, J. Math. Comput. Sci. 12 (2022), 160. https://doi.org/10.28919/jmcs/7401
BibTeX
@article{Ektare2022,
author = {Ektare, Shruti and Pandey, Amit Kumar},
title = {Common fixed-point theorem in triangular intuitionistic fuzzy metric spaces},
journal = {J. Math. Comput. Sci.},
volume = {12},
year = {2022},
pages = {160},
doi = {10.28919/jmcs/7401}
}