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...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
De Gruyter
2017-06-01
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| Series: | Open Mathematics |
| Subjects: | |
| Online Access: | https://doi.org/10.1515/math-2017-0062 |
| _version_ | 1818689955753361408 |
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| author | Kir Mehmet Yolacan Esra Kiziltunc Hukmi |
| author_facet | Kir Mehmet Yolacan Esra Kiziltunc Hukmi |
| author_sort | Kir Mehmet |
| collection | DOAJ |
| 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. |
| first_indexed | 2024-12-17T12:18:20Z |
| format | Article |
| id | doaj.art-ff88f68c1acd4d07803c380d3ed838a7 |
| institution | Directory Open Access Journal |
| issn | 2391-5455 |
| language | English |
| last_indexed | 2024-12-17T12:18:20Z |
| publishDate | 2017-06-01 |
| publisher | De Gruyter |
| record_format | Article |
| series | Open Mathematics |
| spelling | doaj.art-ff88f68c1acd4d07803c380d3ed838a72022-12-21T21:49:06ZengDe 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 |
| 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 |
| title | 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_short | 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 |
| 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 |