# Neutrosophic metric Spaces

## TL;DR

This paper introduces a new type of metric space based on neutrosophic numbers, exploring its topological properties and establishing analogues of classical theorems like Baire Category and Uniform Convergence.

## Contribution

It defines neutrosophic metric spaces and investigates their properties, extending fundamental theorems to this new framework.

## Key findings

- Neutrosophic metric spaces are formally defined.
- Topological and structural properties are characterized.
- Analogues of classical theorems are established.

## Abstract

In present paper, the definition of new metric space with neutrosophic numbers is given. Several topological and structural properties have been investigated. The analogues of Baire Category Theorem and Uniform Convergence Theorem are given for Neutrosophic metric spaces.