On (g, \phi)-contraction in fuzzy metric spaces

TL;DR

This paper introduces a generalized form of contractions in fuzzy metric spaces, extending existing concepts and establishing fixed point theorems for these new contraction types.

Contribution

It presents a novel generalization of Hicks and Golet type contractions specifically for fuzzy metric spaces, along with corresponding fixed point theorems.

Findings

Established fixed point theorems for the new contraction types

Extended classical contraction concepts to fuzzy metric spaces

Provided a unified framework for generalized contractions in fuzzy contexts

Abstract

In this paper, we give a generalization of Hicks type contractions and Golet type contractions on fuzzy metric spaces. We prove some fixed point theorems for this new type contractions mappings on fuzzy metric spaces.