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.