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 (285.6 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

On elliptic valued b-metric spaces and some new fixed point results with an application

Sudipta Kumar Ghosh1, Ozgur Ege2, Junaid Ahmad3( ), Ahmad Aloqaily4,5, Nabil Mlaiki4( )
Department of Mathematics, School of Applied Sciences, Kalinga Institute of Industrial Technology (KIIT) Deemed to be University, Bhubaneswar 751024, Odisha, India
Department of Mathematics, Faculty of Science, Ege University, Bornova, 35100 Izmir, Turkey
Department of Mathematics and Statistics, International Islamic University, H-10, Islamabad 44000, Pakistan
Department of Mathematics and Sciences, Prince Sultan University, Riyadh 11586, Saudi Arabia
School of Computer, Data and Mathematical Sciences, Western Sydney University, Sydney 2150, Australia
Show Author Information

Abstract

In this paper, we introduce the concept of elliptic-valued b-metric spaces, extending the notions of elliptic-valued metric spaces and complex-valued metric spaces. We present several fixed-point results that involve rational and product terms within this novel space framework. To support our main findings, we offer numerical examples. Additionally, we demonstrate an application of Urysohn integral equations.

Keywords

α-admissible mappingrational product termselliptic-valued b-metric spacesimulation functionCaristi-type fixed pointUrysohn integral equation
CLC number: 47H09, 47H10, 54H25

References

【1】
【1】
 
 
Crossref Google Scholar
AIMS Mathematics
Volume 9 Issue 7,
July 2024
Pages 17184-17204
DOI: 10.3934/math.2024835

{{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:
Ghosh SK, Ege O, Ahmad J, et al. On elliptic valued b-metric spaces and some new fixed point results with an application. AIMS Mathematics, 2024, 9(7): 17184-17204. https://doi.org/10.3934/math.2024835

103

Views

1

Downloads

3

Crossref

3

Web of Science

2

Scopus
Received: 10 March 2024
Revised: 19 April 2024
Accepted: 24 April 2024
Published: 15 July 2024
©2024 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)