Contraction Principles in $M_s$-metric Spaces

TL;DR

This paper extends the concept of partial S-metric spaces to M_s-metric spaces and establishes fixed point theorems under various contraction principles, broadening the theoretical framework of metric space analysis.

Contribution

It introduces an extension of partial S-metric spaces to M_s-metric spaces and proves fixed point results under different contraction conditions.

Findings

Existence and uniqueness of fixed points in M_s-metric spaces

Extension of partial S-metric space concepts

Fixed point theorems under contraction principles

Abstract

In this paper, we give an interesting extension of the partial S-metric space which was introduced [4] to the M_s-metric space. Also, we prove the existence and uniqueness of a fixed point for a self mapping on an Ms-metric space under different contraction principles.