Prevalent fixed point theorems on MIFM-Spaces using the ( C L R S R ) property and implicit function

Abstract

The main goal of this study is to use an implicit function to demonstrate the existence of a common fixed point on modified intuitionistic fuzzy metric spaces by using the concept of common limit range property with regard to two self-mappings \(S\) and \(R\), i.e., (\(CLR_{SR}\)) property. Our primary result is supported by an example that validates the hypotheses of our result. Our findings improve and generalize the findings of Tanveer et al. [M. Tanveer, M. Imdad, D. Gopal, D. K. Patel, Fixed Point Theory Appl., \(\bf 2012\) (2012), 1--12], and other existing results related to this study.