Some Common Fixed Point Results for Contractive Mappings in Ordered G_p-Metric Spaces

TL;DR

This paper establishes new fixed point theorems for contractive mappings in ordered G_p-metric spaces, extending existing results and providing conditions for existence and uniqueness of fixed points.

Contribution

It introduces generalized fixed point theorems in ordered G_p-metric spaces, broadening the scope of previous fixed point results with new sufficient conditions.

Findings

Established existence and uniqueness of fixed points under new contractive conditions.

Generalized fixed point theorems extend previous literature.

Provided examples supporting the theoretical results.

Abstract

In this present article, we get sufficient conditions for the existence and uniqueness of fixed points and common fixed points for single and double mapping satisfying various contractive conditions within the partially ordered 0-G_p-complete G_p-metric spaces. Our theorems generalize some fixed point results existing in the literature. Furthermore, we give some examples supporting our results.