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
PDF (227.5 KB)
Collect
Submit Manuscript AI Chat Paper
Show Outline
Outline
Show full outline
Hide outline
Outline
Show full outline
Hide outline
Research Article | Open Access

A new approach to integral equations via contraction results in multiplicative metric spaces

Hizbullah1Saif Ur Rehman1Sami Ullah Khan1Gauhar Rahman2Kamsing Nonlaopon3( )
Institute of Numerical Sciences, Department of Mathematics, Gomal University, Dera Ismail Khan 29050, Pakistan
Department of Mathematics and Statistics, Hazara University, Mansehra, Pakistan
Department of Mathematics, Faculty of Science, Khon Kaen University, Khon Kaen 40002, Thailand
Show Author Information

Abstract

In this research study, some striking features of single-valued fixed point theorems on multiplicative metric spaces have been established. Our displayed work consists of some unique fixed point theorems under generalized contraction with maximum and minimum conditions. In support of our work, we demonstrate some illustrative examples to justify all the conditions of our main theorems. In addition, a nonlinear integral equation is presented as an application to express the validity of our work. The offered outcomes in this study extend and improve many of the results proved in recent decades.

CLC number: 47H10, 54H25

References

【1】
【1】
 
 
AIMS Mathematics
Pages 19891-19901

{{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

Close
Close
Cite this article:
Hizbullah, Rehman SU, Khan SU, et al. A new approach to integral equations via contraction results in multiplicative metric spaces. AIMS Mathematics, 2022, 7(11): 19891-19901. https://doi.org/10.3934/math.20221089

50

Views

1

Downloads

2

Crossref

3

Web of Science

4

Scopus

Received: 24 June 2022
Revised: 27 August 2022
Accepted: 29 August 2022
Published: 15 November 2022
©2022 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)