Common fixed point theorems in intuitionistic fuzzy metric spaces with an application for Volterra integral equations

Abstract

This work aims to demonstrate some common fixed point results in light of certain common limit range properties. Such results are associated with certain weakly compatible mappings in intuitionistic fuzzy metric spaces that meet a specific implicit relation. In particular, the accomplished results in this paper generalize several significant theorems reported in the literature. As an application of our work, we utilize a certain novel result to establish the existence and uniqueness of a common solution for a system of Volterra type integral equations.