Common fixed-point theorem in triangular intuitionistic fuzzy metric spaces

Shruti Ektare, Amit Kumar Pandey

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.

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Published: 2022-05-26

How to Cite this Article:

Shruti Ektare, Amit Kumar Pandey, Common fixed-point theorem in triangular intuitionistic fuzzy metric spaces, J. Math. Comput. Sci., 12 (2022), Article ID 160

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.

 

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