# A short proof of the metrizability of $\mathcal{F}$-metric spaces

## TL;DR

This paper presents a concise proof demonstrating that $\

## Contribution

It offers a simplified proof of the metrizability of $\\mathcal{F}$-metric spaces, expanding understanding of their structure.

## Key findings

- $\\mathcal{F}$-metric spaces are metrizable.
- The proof simplifies previous approaches.
- Enhances theoretical understanding of generalized metric spaces.

## Abstract

The main purpose of this manuscript is to provide a short proof of the metrizability of $\mathcal{F}$-metric spaces introduced by Jleli and Samet in \cite[\, Jleli, M. and Samet, B., On a new generalization of metric spaces, J. Fixed Point Theory Appl. (2018) 20:128]{JS1}.