Some fixed theorem for continuous mapping in fuzzy metric spaces

Abstract

This paper uses weak compatibility and equal continuity to prove popular fixed point theorems in generalised intuitionistic fuzzy metric spaces (FMS). This study aims to demonstrate common fixed point propositions that use rational terms in M-fuzzy metric spaces, while concurrently substantiating our findings. Our findings lead towards a rationalisation of a integer of fixed point theorems found in the body of work on M-FMS.