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 (237.1 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

Some common fixed point theorems in bipolar metric spaces and applications

Joginder Paul1, Mohammad Sajid2( ), Naveen Chandra1, Umesh Chandra Gairola1
Department of Mathematics, H. N. B. Garhwal University, B. G. R. Campus, Pauri-246001, Uttarakhand, India
Department of Mechanical Engineering, College of Engineering, Qassim University, Buraydah-51452, Saudi Arabia
Show Author Information

Abstract

In this article, we prove some common fixed point theorems for generalized rational type contractions in bipolar metric spaces. These theorems also generalize and extend several interesting results of metric fixed point theory to the bipolar metric context. In addition, we provide some examples to illustrate our theorems, and applications are obtained in areas of homotopy theory and integral equations by using iterative methods for mathematical operators on a bipolar metric space.

Keywords

common fixed pointrational type contractionbipolar metric spacesiterative methodsmathematical operators
CLC number: 47H10, 54H25

References

【1】
【1】
 
 
Crossref Google Scholar
AIMS Mathematics
Volume 8 Issue 8,
August 2023
Pages 19004-19017
DOI: 10.3934/math.2023969

{{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:
Paul J, Sajid M, Chandra N, et al. Some common fixed point theorems in bipolar metric spaces and applications. AIMS Mathematics, 2023, 8(8): 19004-19017. https://doi.org/10.3934/math.2023969

2

Views

0

Downloads

0

Crossref

0

Web of Science

6

Scopus
Received: 24 March 2023
Revised: 18 May 2023
Accepted: 28 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)