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Fixed point theorem between cone metric space and quasi-cone metric space

This study involves new notions of continuity of mapping between quasi-cone metrics spaces (QCMSs), cone metric spaces (CMSs), and vice versa. The relation between all notions of continuity were thoroughly studied and supported with the help of examples. In addition, these new continuities were comp...

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Main Authors: Al-Yaari, A., Sakidin, H., Alyousifi, Y., Al-Tashi, Q.
Format: Article
Published: Institute of Advanced Engineering and Science 2022
Online Access:https://www.scopus.com/inward/record.uri?eid=2-s2.0-85122073975&doi=10.11591%2fijeecs.v25.i1.pp540-549&partnerID=40&md5=3f475e12629d55d37e94c4e8f1a06281
http://eprints.utp.edu.my/28946/
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spelling my.utp.eprints.289462022-03-16T08:35:24Z Fixed point theorem between cone metric space and quasi-cone metric space Al-Yaari, A. Sakidin, H. Alyousifi, Y. Al-Tashi, Q. This study involves new notions of continuity of mapping between quasi-cone metrics spaces (QCMSs), cone metric spaces (CMSs), and vice versa. The relation between all notions of continuity were thoroughly studied and supported with the help of examples. In addition, these new continuities were compared with various types of continuities of mapping between two QCMSs. The continuity types are -continuous, -continuous, -continuous, and -continuous. The results demonstrated that the new notions of continuity could be generalized to the continuity of mapping between two QCMSs. It also showed a fixed point for this continuity map between a complete Hausdorff CMS and QCMS. Overall, this study supports recent research results. © 2022 Institute of Advanced Engineering and Science. All rights reserved. Institute of Advanced Engineering and Science 2022 Article NonPeerReviewed https://www.scopus.com/inward/record.uri?eid=2-s2.0-85122073975&doi=10.11591%2fijeecs.v25.i1.pp540-549&partnerID=40&md5=3f475e12629d55d37e94c4e8f1a06281 Al-Yaari, A. and Sakidin, H. and Alyousifi, Y. and Al-Tashi, Q. (2022) Fixed point theorem between cone metric space and quasi-cone metric space. Indonesian Journal of Electrical Engineering and Computer Science, 25 (1). pp. 540-549. http://eprints.utp.edu.my/28946/
institution Universiti Teknologi Petronas
building UTP Resource Centre
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Teknologi Petronas
content_source UTP Institutional Repository
url_provider http://eprints.utp.edu.my/
description This study involves new notions of continuity of mapping between quasi-cone metrics spaces (QCMSs), cone metric spaces (CMSs), and vice versa. The relation between all notions of continuity were thoroughly studied and supported with the help of examples. In addition, these new continuities were compared with various types of continuities of mapping between two QCMSs. The continuity types are -continuous, -continuous, -continuous, and -continuous. The results demonstrated that the new notions of continuity could be generalized to the continuity of mapping between two QCMSs. It also showed a fixed point for this continuity map between a complete Hausdorff CMS and QCMS. Overall, this study supports recent research results. © 2022 Institute of Advanced Engineering and Science. All rights reserved.
format Article
author Al-Yaari, A.
Sakidin, H.
Alyousifi, Y.
Al-Tashi, Q.
spellingShingle Al-Yaari, A.
Sakidin, H.
Alyousifi, Y.
Al-Tashi, Q.
Fixed point theorem between cone metric space and quasi-cone metric space
author_facet Al-Yaari, A.
Sakidin, H.
Alyousifi, Y.
Al-Tashi, Q.
author_sort Al-Yaari, A.
title Fixed point theorem between cone metric space and quasi-cone metric space
title_short Fixed point theorem between cone metric space and quasi-cone metric space
title_full Fixed point theorem between cone metric space and quasi-cone metric space
title_fullStr Fixed point theorem between cone metric space and quasi-cone metric space
title_full_unstemmed Fixed point theorem between cone metric space and quasi-cone metric space
title_sort fixed point theorem between cone metric space and quasi-cone metric space
publisher Institute of Advanced Engineering and Science
publishDate 2022
url https://www.scopus.com/inward/record.uri?eid=2-s2.0-85122073975&doi=10.11591%2fijeecs.v25.i1.pp540-549&partnerID=40&md5=3f475e12629d55d37e94c4e8f1a06281
http://eprints.utp.edu.my/28946/
_version_ 1738656904510439424
score 13.154949

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