Intuitionistic fuzzy {\psi}-{\phi}-contractive mappings and fixed point theorems in non-Archimedean intuitionistic fuzzy metric spaces

TL;DR

This paper introduces a new class of contractive mappings in non-Archimedean intuitionistic fuzzy metric spaces and proves fixed point theorems for these mappings, expanding the theoretical framework of fuzzy metric space analysis.

Contribution

It defines intuitionistic fuzzy {a}-{}-contractive mappings and establishes fixed point theorems in non-Archimedean intuitionistic fuzzy metric spaces, which is a novel extension.

Findings

Proved intuitionistic fuzzy Banach contraction theorem in non-Archimedean spaces

Established intuitionistic fuzzy Elelstein contraction theorem in these spaces

Extended fixed point theory in the context of intuitionistic fuzzy metric spaces

Abstract

In this paper intuitionistic fuzzy {\psi}-{\phi}-contractive mappings are introduced. Intuitionistic fuzzy Banach contraction theorem for M-complete non-Archimedean intuitionistic fuzzy metric spaces and intuitionistic fuzzy Elelstein contraction theorem for non-Archimedean intuitionistic fuzzy metric spaces by intuitionistic fuzzy {\psi}-{\phi}-contractive mappings are proved.