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Abstract

This article deals with certain outcomes on fixed points of an orthogonal nonlinear contraction map in the framework of O-complete metric spaces. The findings investigated herein enhance and sharpen a few outcomes on fixed points. In order to demonstrate our outcomes, we provide a number of illustrative examples. Finally, via our findings, we discuss the existence and uniqueness of solutions to a periodic boundary value problem.

Details

1009240
Title
A Class of φ-Contractions in Orthogonal Metric Spaces with an Application
Author
Filali, Doaa 1   VIAFID ORCID Logo  ; Akram, Mohammad 2 ; Dilshad, Mohammad 3   VIAFID ORCID Logo 

 Department of Mathematical Science, College of Sciences, Princess Nourah Bint Abdulrahman University, Riyadh 84428, Saudi Arabia 
 Department of Mathematics, Faculty of Science, Islamic University of Madinah, P.O. Box 170, Madinah 42351, Saudi Arabia 
 Department of Mathematics, Faculty of Science, University of Tabuk, P.O. Box 741, Tabuk 71491, Saudi Arabia; [email protected] 
Publication title
Symmetry; Basel
Volume
16
Issue
11
First page
1462
Publication year
2024
Publication date
2024
Publisher
MDPI AG
Place of publication
Basel
Country of publication
Switzerland
Publication subject
e-ISSN
20738994
Source type
Scholarly Journal
Language of publication
English
Document type
Journal Article
Publication history
 
 
Online publication date
2024-11-04
Milestone dates
2024-07-16 (Received); 2024-10-21 (Accepted)
Publication history
 
 
   First posting date
04 Nov 2024
ProQuest document ID
3133381594
Document URL
https://www.proquest.com/scholarly-journals/class-i-φ-contractions-orthogonal-metric-spaces/docview/3133381594/se-2?accountid=208611
Copyright
© 2024 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.
Last updated
2024-11-27
Database
ProQuest One Academic