Existence of Coupled Best Proximity Points of <i>p</i>-Cyclic Contractions
We generalize the notion of coupled fixed (or best proximity) points for cyclic ordered pairs of maps to <i>p</i>-cyclic ordered pairs of maps. We find sufficient conditions for the existence and uniqueness of the coupled fixed (or best proximity) points. We illustrate the results with a...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2021-03-01
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| Series: | Axioms |
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| Online Access: | https://www.mdpi.com/2075-1680/10/1/39 |
| _version_ | 1797540493232439296 |
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| author | Miroslav Hristov Atanas Ilchev Diana Nedelcheva Boyan Zlatanov |
| author_facet | Miroslav Hristov Atanas Ilchev Diana Nedelcheva Boyan Zlatanov |
| author_sort | Miroslav Hristov |
| collection | DOAJ |
| description | We generalize the notion of coupled fixed (or best proximity) points for cyclic ordered pairs of maps to <i>p</i>-cyclic ordered pairs of maps. We find sufficient conditions for the existence and uniqueness of the coupled fixed (or best proximity) points. We illustrate the results with an example that covers a wide class of maps. |
| first_indexed | 2024-03-10T13:01:37Z |
| format | Article |
| id | doaj.art-6b1ae2bf9fca4fb3aa8b6da0dcd9cf82 |
| institution | Directory Open Access Journal |
| issn | 2075-1680 |
| language | English |
| last_indexed | 2024-03-10T13:01:37Z |
| publishDate | 2021-03-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Axioms |
| spelling | doaj.art-6b1ae2bf9fca4fb3aa8b6da0dcd9cf822023-11-21T11:28:16ZengMDPI AGAxioms2075-16802021-03-011013910.3390/axioms10010039Existence of Coupled Best Proximity Points of <i>p</i>-Cyclic ContractionsMiroslav Hristov0Atanas Ilchev1Diana Nedelcheva2Boyan Zlatanov3Department of Mathematical Analysis, Faculty of Mathematics and Informatics, Konstantin Preslavsky University of Shumen, 115, Universitetska St, 9700 Shumen, BulgariaDepartment of Real Analysis, Faculty of Mathematics and Informatics, University of Plovdiv Paisii Hilendarski, 24 Tzar Assen Str., 4000 Plovdiv, BulgariaDepartment of Mathematics, Technical University of Varna, 1, Studentska Str., 9000 Varna, BulgariaDepartment of Real Analysis, Faculty of Mathematics and Informatics, University of Plovdiv Paisii Hilendarski, 24 Tzar Assen Str., 4000 Plovdiv, BulgariaWe generalize the notion of coupled fixed (or best proximity) points for cyclic ordered pairs of maps to <i>p</i>-cyclic ordered pairs of maps. We find sufficient conditions for the existence and uniqueness of the coupled fixed (or best proximity) points. We illustrate the results with an example that covers a wide class of maps.https://www.mdpi.com/2075-1680/10/1/39coupled fixed pointscyclic mapsuniformly convex Banach spaceerror estimate |
| spellingShingle | Miroslav Hristov Atanas Ilchev Diana Nedelcheva Boyan Zlatanov Existence of Coupled Best Proximity Points of <i>p</i>-Cyclic Contractions Axioms coupled fixed points cyclic maps uniformly convex Banach space error estimate |
| title | Existence of Coupled Best Proximity Points of <i>p</i>-Cyclic Contractions |
| title_full | Existence of Coupled Best Proximity Points of <i>p</i>-Cyclic Contractions |
| title_fullStr | Existence of Coupled Best Proximity Points of <i>p</i>-Cyclic Contractions |
| title_full_unstemmed | Existence of Coupled Best Proximity Points of <i>p</i>-Cyclic Contractions |
| title_short | Existence of Coupled Best Proximity Points of <i>p</i>-Cyclic Contractions |
| title_sort | existence of coupled best proximity points of i p i cyclic contractions |
| topic | coupled fixed points cyclic maps uniformly convex Banach space error estimate |
| url | https://www.mdpi.com/2075-1680/10/1/39 |
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