Introduction on Revised Fuzzy Modular Spaces

Abstract

The concept of Revised fuzzy modular metric space is firstly introduced in this paper. Afterwards, a Hausdorff topology induced by a β-homogeneous Revised fuzzy modular metric is defined and some related topological properties are also examined. And then, several theorems on μ-completeness of the Revised fuzzy modular metric space are given. Finally, the well-known Baire’s theorem and uniform limit theorem are extended to Revised fuzzy modular metric spaces.