Upper class of type I on coupled coincidence point results for some contractions in partially ordered JS-metric spaces

Abstract In this research work, the necessary and sufficient conditions of a coupled coincidence point of certain type of generalized contractions are explored. These results are considered under JS-metric spaces equipped with a partial order. Moreover, examples satisfying theorems are given. Finall...

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Main Authors: A. H. Ansari, A. Khemphet, N. Phudolsitthiphat, A. Wiriyapongsanon
Format: Article
Language:English
Published: SpringerOpen 2019-12-01
Series:Advances in Difference Equations
Subjects:
Online Access:https://doi.org/10.1186/s13662-019-2437-1
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spelling doaj-03619e98690a4a1691bc58d4162ad9e92020-12-06T12:48:48ZengSpringerOpenAdvances in Difference Equations1687-18472019-12-012019112010.1186/s13662-019-2437-1Upper class of type I on coupled coincidence point results for some contractions in partially ordered JS-metric spacesA. H. Ansari0A. Khemphet1N. Phudolsitthiphat2A. Wiriyapongsanon3Department of Mathematics, Karaj Branch, Islamic Azad UniversityResearch Center in Mathematics and Applied Mathematics, Department of Mathematics, Faculty of Science, Chiang Mai UniversityResearch Center in Mathematics and Applied Mathematics, Department of Mathematics, Faculty of Science, Chiang Mai UniversityFaculty of Sport and Health Sciences, Thailand National Sports University Lampang CampusAbstract In this research work, the necessary and sufficient conditions of a coupled coincidence point of certain type of generalized contractions are explored. These results are considered under JS-metric spaces equipped with a partial order. Moreover, examples satisfying theorems are given. Finally, an application to a system of integral equations is obtained using our results. In addition, an example of the system is provided.https://doi.org/10.1186/s13662-019-2437-1Coupled coincidence pointUpper classJS-metric spacePartially ordered setGeraghty
collection DOAJ
language English
format Article
sources DOAJ
author A. H. Ansari
A. Khemphet
N. Phudolsitthiphat
A. Wiriyapongsanon
spellingShingle A. H. Ansari
A. Khemphet
N. Phudolsitthiphat
A. Wiriyapongsanon
Upper class of type I on coupled coincidence point results for some contractions in partially ordered JS-metric spaces
Advances in Difference Equations
Coupled coincidence point
Upper class
JS-metric space
Partially ordered set
Geraghty
author_facet A. H. Ansari
A. Khemphet
N. Phudolsitthiphat
A. Wiriyapongsanon
author_sort A. H. Ansari
title Upper class of type I on coupled coincidence point results for some contractions in partially ordered JS-metric spaces
title_short Upper class of type I on coupled coincidence point results for some contractions in partially ordered JS-metric spaces
title_full Upper class of type I on coupled coincidence point results for some contractions in partially ordered JS-metric spaces
title_fullStr Upper class of type I on coupled coincidence point results for some contractions in partially ordered JS-metric spaces
title_full_unstemmed Upper class of type I on coupled coincidence point results for some contractions in partially ordered JS-metric spaces
title_sort upper class of type i on coupled coincidence point results for some contractions in partially ordered js-metric spaces
publisher SpringerOpen
series Advances in Difference Equations
issn 1687-1847
publishDate 2019-12-01
description Abstract In this research work, the necessary and sufficient conditions of a coupled coincidence point of certain type of generalized contractions are explored. These results are considered under JS-metric spaces equipped with a partial order. Moreover, examples satisfying theorems are given. Finally, an application to a system of integral equations is obtained using our results. In addition, an example of the system is provided.
topic Coupled coincidence point
Upper class
JS-metric space
Partially ordered set
Geraghty
url https://doi.org/10.1186/s13662-019-2437-1
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AT akhemphet upperclassoftypeioncoupledcoincidencepointresultsforsomecontractionsinpartiallyorderedjsmetricspaces
AT nphudolsitthiphat upperclassoftypeioncoupledcoincidencepointresultsforsomecontractionsinpartiallyorderedjsmetricspaces
AT awiriyapongsanon upperclassoftypeioncoupledcoincidencepointresultsforsomecontractionsinpartiallyorderedjsmetricspaces
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