Recent Fixed-Point Results for θ−Contraction Mappings in Rectangular M−Metric Spaces with Supportive Application

Mustafa Mudhesh; Hasanen A. Hammad; Habes Alsamir; Muhammad Arshad; Eskandar Ameer

doi:10.1155/2021/5564248

Journal of Mathematics (Jan 2021)

Recent Fixed-Point Results for θ−Contraction Mappings in Rectangular M−Metric Spaces with Supportive Application

Mustafa Mudhesh,
Hasanen A. Hammad,
Habes Alsamir,
Muhammad Arshad,
Eskandar Ameer

Affiliations

Mustafa Mudhesh: Department of Mathematics and Statistics, International Islamic University, H-10, Islamabad-44000, Pakistan
Hasanen A. Hammad: Department of Mathematics, Faculty of Science, Sohag University, Sohag 82524, Egypt
Habes Alsamir: College of Business Administration-Finance Department, Dar Al Uloom University, Riyadh, Saudi Arabia
Muhammad Arshad: Department of Mathematics and Statistics, International Islamic University, H-10, Islamabad-44000, Pakistan
Eskandar Ameer: Department of Mathematics, Taiz University, Taiz, Yemen

DOI: https://doi.org/10.1155/2021/5564248
Journal volume & issue: Vol. 2021

Abstract

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The goal of this manuscript is to present a new fixed-point theorem on θ−contraction mappings in the setting of rectangular M-metric spaces (RMMSs). Also, a nontrivial example to illustrate our main result has been given. Moreover, some related sequences with θ−contraction mappings have been discussed. Ultimately, our theoretical result has been implicated to study the existence and uniqueness of the solution to a nonlinear integral equation (NIE).

Published in Journal of Mathematics

ISSN: 2314-4629 (Print); 2314-4785 (Online)
Publisher: Wiley
Country of publisher: United Kingdom
LCC subjects: Science: Mathematics
Website: https://onlinelibrary.wiley.com/journal/1469

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