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The present study deals with some fixed-point outcomes under a nonlinear formulation of strict almost contractions in a metric space endued with an arbitrary relation. The outcomes established herein enhance and develop various existing outcomes. To convince you of the infallibility of our outcomes, a few examples are presented. We apply our findings to investigate the validity of the unique solution of a nonlinear integral problem.

Details

1009240
Subject
Metric space;
Integral equations;
Inequality;
Hypotheses
Identifier / keyword
binary relation; fixed point theorem; almost contractions; integral equations
Title
Relational Strict Almost Contractions Employing Test Functions and an Application to Nonlinear Integral Equations
Author
Filali, Doaa 1   VIAFID ORCID Logo  ; Faizan Ahmad Khan 2   VIAFID ORCID Logo 

1  Department of Mathematical Science, College of Science, Princess Nourah bint Abdulrahman University, Riyadh 11671, Saudi Arabia 
2  Department of Mathematics, Faculty of Science, University of Tabuk, Tabuk 71491, Saudi Arabia 
Publication title
Mathematics; Basel
Volume
12
Issue
20
First page
3262
Publication year
2024
Publication date
2024
Publisher
MDPI AG
Place of publication
Basel
Country of publication
Switzerland
Publication subject
Mathematics
e-ISSN
22277390
Source type
Scholarly Journal
Language of publication
English
Document type
Journal Article
Publication history
 
 
Online publication date
2024-10-17
Milestone dates
2024-09-27 (Received); 2024-10-13 (Accepted)
Publication history
 
 
   First posting date
17 Oct 2024
DOI
https://doi.org/10.3390/math12203262
ProQuest document ID
3120732104
Document URL
https://www.proquest.com/scholarly-journals/relational-strict-almost-contractions-employing/docview/3120732104/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
2024-10-26
Database
ProQuest One Academic