AI Chat Paper
Note: Please note that the following content is generated by AMiner AI. SciOpen does not take any responsibility related to this content.
{{lang === 'zh_CN' ? '文章概述' : 'Summary'}}
{{lang === 'en_US' ? '中' : 'Eng'}}
Chat more with AI
Powered by AMiner. Clicking this button will take you away from SciOpen.
Home AIMS Mathematics Article
PDF (227.4 KB)
Cite
EndNote(RIS) BibTeX
Collect
Submit Manuscript AI Chat Paper
Show Outline
Outline
Show full outline
Hide outline
Outline
Show full outline
Hide outline
Research Article | Open Access

Relation-theoretic almost ϕ-contractions with an application to elastic beam equations

Ebrahem A. Algehyne( ), Nifeen Hussain Altaweel, Mounirah Areshi, Faizan Ahmad Khan( )
Department of Mathematics, University of Tabuk, Tabuk-71491, Saudi Arabia
Show Author Information

Abstract

In this article, we prove some results on existence and uniqueness of fixed points for an almost ϕ-contraction mapping defined on a metric space endowed with an amorphous relation. Our results generalize and improve several well known fixed point theorems of the existing literature. To substantiate the credibility of our results, we construct some examples. We also apply our results to determine a unique solution of a boundary value problem associated with nonlinear elastic beam equations.

Keywords

almost contractionsboundary value problemsfixed pointsbinary relations
CLC number: 06A75, 34B15, 46T99, 47H10, 54H25

References

【1】
【1】
 
 
Crossref Google Scholar
AIMS Mathematics
Volume 8 Issue 8,
August 2023
Pages 18919-18929
DOI: 10.3934/math.2023963

{{item.num}}

Comments on this article

Go to comment

< Back to all reports

Review Status: {{reviewData.commendedNum}} Commended , {{reviewData.revisionRequiredNum}} Revision Required , {{reviewData.notCommendedNum}} Not Commended Under Peer Review

Review Comment

Cite this Report
Close
Close
Cite this article:
Algehyne EA, Altaweel NH, Areshi M, et al. Relation-theoretic almost ϕ-contractions with an application to elastic beam equations. AIMS Mathematics, 2023, 8(8): 18919-18929. https://doi.org/10.3934/math.2023963

3

Views

0

Downloads

0

Crossref

13

Web of Science

14

Scopus
Received: 03 April 2023
Revised: 15 May 2023
Accepted: 16 May 2023
Published: 15 August 2023
©2023 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)