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In this article, common fixed-point theorems for self-mappings under different types of generalized contractions in the context of the cone b2-metric space over the Banach algebra are discussed. The existence results obtained strengthen the ones mentioned previously in the literature. An example and an application to the infinite system of integral equations are also presented to validate the main results.

Details

1009240
Subject
Banach spaces;
Algebra;
Metric space;
Mathematical analysis;
Integral equations;
Fixed points (mathematics)
Identifier / keyword
Integral equation; Banach algebra
Title
Some Coincidence and Common Fixed-Point Results on Cone b2-Metric Spaces over Banach Algebras with Applications to the Infinite System of Integral Equations
Author
Islam, Ziaul 1   VIAFID ORCID Logo  ; Sarwar, Muhammad 1   VIAFID ORCID Logo  ; Filali, Doaa 2 ; Jarad, Fahd 3   VIAFID ORCID Logo 

1  Department of Mathematics, University of Malakand, Chakdara Dir (L), Pakistan 
2  Mathematical Science Department, College of Science, Princess Nourah Bint Abdulrahman University, Saudi Arabia 
3  Department of Mathematics, Çankaya University, Etimesgut, Ankara, Turkey; Department of Medical Research, China Medical University Hospital, China Medical University, Taichung, Taiwan 
Editor
Liliana Guran
Publication title
Journal of Function Spaces; New York
Volume
2021
Publication year
2021
Publication date
2021
Publisher
John Wiley & Sons, Inc.
Place of publication
New York
Country of publication
United States
Publication subject
Mathematics
ISSN
23148896
e-ISSN
23148888
Source type
Scholarly Journal
Language of publication
English
Document type
Journal Article
Publication history
 
 
Milestone dates
2021-03-13 (Received); 2021-07-09 (Revised); 2021-08-07 (Accepted); 2021-09-03 (Pub)
DOI
https://doi.org/10.1155/2021/9991117
ProQuest document ID
2571755350
Document URL
https://www.proquest.com/scholarly-journals/some-coincidence-common-fixed-point-results-on/docview/2571755350/se-2?accountid=208611
Copyright
Copyright © 2021 Ziaul Islam et al. This is an open access article distributed under the Creative Commons Attribution License (the “License”), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License. https://creativecommons.org/licenses/by/4.0/
Last updated
2023-11-27
Database
ProQuest One Academic