Generalized Common Proximal Points in Intuitionistic Fuzzy Metric Spaces

Abstract

This manuscript introduces specific criteria for real-valued functions $J, S: (0, 1] \to \mathbb{R}$ for the existence of the best proximal point of generalized $IF_{(S, J)}$-iterative mappings within the framework of intuitionistic fuzzy metric space. After, employ intuitionistic fuzzy versions of $(S, J)$ K-type proximal contraction and fuzzy $(S, J)$- Hardy Rogers (HR)-type to investigate common best proximal (Cbp) points in intuitionistic fuzzy metric spaces with non-trivial example.