Coupled fixed point theorems in complete metric spaces endowed with a directed graph and application

The purpose of this paper is to present some existence results for coupled fixed point of a (φ,ψ) —contractive condition for mixed monotone operators in metric spaces endowed with a directed graph. Our results generalize the results obtained by Jain et al. in (International Journal of Analysis, Volu...

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Main Authors:	Kir Mehmet, Yolacan Esra, Kiziltunc Hukmi
Format:	Article
Language:	English
Published:	De Gruyter 2017-06-01
Series:	Open Mathematics
Subjects:	coupled coincidence point coupled fixed point edge preserving directed graph 47h10 54h25
Online Access:	https://doi.org/10.1515/math-2017-0062

id	doaj-ff88f68c1acd4d07803c380d3ed838a7
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spelling	doaj-ff88f68c1acd4d07803c380d3ed838a72021-09-06T19:20:09ZengDe GruyterOpen Mathematics2391-54552017-06-0115173474410.1515/math-2017-0062math-2017-0062Coupled fixed point theorems in complete metric spaces endowed with a directed graph and applicationKir Mehmet0Yolacan Esra1Kiziltunc Hukmi2Department of Civil Engineering, Engineering Faculty, Şirnak University, 73000, Erzurum, TurkeyRepublic of Turkey Ministry of National Education, Mathematics Teacher, 60000Tokat-TurkeyDepartment of Mathematics, Faculty of Science, Ataturk University, Erzurum, 25240, TurkeyThe purpose of this paper is to present some existence results for coupled fixed point of a (φ,ψ) —contractive condition for mixed monotone operators in metric spaces endowed with a directed graph. Our results generalize the results obtained by Jain et al. in (International Journal of Analysis, Volume 2014, Article ID 586096, 9 pages). Moreover, we have an application to some integral system to support the results.https://doi.org/10.1515/math-2017-0062coupled coincidence pointcoupled fixed pointedge preservingdirected graph47h1054h25
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Kir Mehmet Yolacan Esra Kiziltunc Hukmi
spellingShingle	Kir Mehmet Yolacan Esra Kiziltunc Hukmi Coupled fixed point theorems in complete metric spaces endowed with a directed graph and application Open Mathematics coupled coincidence point coupled fixed point edge preserving directed graph 47h10 54h25
author_facet	Kir Mehmet Yolacan Esra Kiziltunc Hukmi
author_sort	Kir Mehmet
title	Coupled fixed point theorems in complete metric spaces endowed with a directed graph and application
title_short	Coupled fixed point theorems in complete metric spaces endowed with a directed graph and application
title_full	Coupled fixed point theorems in complete metric spaces endowed with a directed graph and application
title_fullStr	Coupled fixed point theorems in complete metric spaces endowed with a directed graph and application
title_full_unstemmed	Coupled fixed point theorems in complete metric spaces endowed with a directed graph and application
title_sort	coupled fixed point theorems in complete metric spaces endowed with a directed graph and application
publisher	De Gruyter
series	Open Mathematics
issn	2391-5455
publishDate	2017-06-01
description	The purpose of this paper is to present some existence results for coupled fixed point of a (φ,ψ) —contractive condition for mixed monotone operators in metric spaces endowed with a directed graph. Our results generalize the results obtained by Jain et al. in (International Journal of Analysis, Volume 2014, Article ID 586096, 9 pages). Moreover, we have an application to some integral system to support the results.
topic	coupled coincidence point coupled fixed point edge preserving directed graph 47h10 54h25
url	https://doi.org/10.1515/math-2017-0062
work_keys_str_mv	AT kirmehmet coupledfixedpointtheoremsincompletemetricspacesendowedwithadirectedgraphandapplication AT yolacanesra coupledfixedpointtheoremsincompletemetricspacesendowedwithadirectedgraphandapplication AT kiziltunchukmi coupledfixedpointtheoremsincompletemetricspacesendowedwithadirectedgraphandapplication
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Coupled fixed point theorems in complete metric spaces endowed with a directed graph and application

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