Approximation of Fixed Points and Best Proximity Points of Relatively Nonexpansive Mappings
In this article, we study the Agarwal iterative process for finding fixed points and best proximity points of relatively nonexpansive mappings. Using the Von Neumann sequence, we establish the convergence result in a Hilbert space framework. We present a new example of relatively nonexpansive mappin...
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2020/8821553 |
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| author | Thabet Abdeljawad Kifayat Ullah Junaid Ahmad Manuel De La Sen Azhar Ulhaq |
| author_facet | Thabet Abdeljawad Kifayat Ullah Junaid Ahmad Manuel De La Sen Azhar Ulhaq |
| author_sort | Thabet Abdeljawad |
| collection | DOAJ |
| description | In this article, we study the Agarwal iterative process for finding fixed points and best proximity points of relatively nonexpansive mappings. Using the Von Neumann sequence, we establish the convergence result in a Hilbert space framework. We present a new example of relatively nonexpansive mapping and prove that its Agarwal iterative process is more efficient than the Mann and Ishikawa iterative processes. |
| format | Article |
| id | doaj-art-ed3cf55905b244e3a31c7ae04ced57d1 |
| institution | OA Journals |
| issn | 2314-4629 2314-4785 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-ed3cf55905b244e3a31c7ae04ced57d12025-08-20T02:22:06ZengWileyJournal of Mathematics2314-46292314-47852020-01-01202010.1155/2020/88215538821553Approximation of Fixed Points and Best Proximity Points of Relatively Nonexpansive MappingsThabet Abdeljawad0Kifayat Ullah1Junaid Ahmad2Manuel De La Sen3Azhar Ulhaq4Department of Mathematics and General Sciences, Prince Sultan University, P.O.Box 66833, Riyadh 11586, Saudi ArabiaDepartment of Mathematics, University of Science and Technology, Bannu 28100, Khyber Pakhtunkhwa, PakistanDepartment of Mathematics, University of Science and Technology, Bannu 28100, Khyber Pakhtunkhwa, PakistanInstitute of Research and Development of Processes, University of the Basque Country, Campus of Leioa (Bizkaia), P.O. Box 644- Bilbao, Barrio Sarriena, 48940 Leioa, SpainDepartment of Mathematics, University of Science and Technology, Bannu 28100, Khyber Pakhtunkhwa, PakistanIn this article, we study the Agarwal iterative process for finding fixed points and best proximity points of relatively nonexpansive mappings. Using the Von Neumann sequence, we establish the convergence result in a Hilbert space framework. We present a new example of relatively nonexpansive mapping and prove that its Agarwal iterative process is more efficient than the Mann and Ishikawa iterative processes.http://dx.doi.org/10.1155/2020/8821553 |
| spellingShingle | Thabet Abdeljawad Kifayat Ullah Junaid Ahmad Manuel De La Sen Azhar Ulhaq Approximation of Fixed Points and Best Proximity Points of Relatively Nonexpansive Mappings Journal of Mathematics |
| title | Approximation of Fixed Points and Best Proximity Points of Relatively Nonexpansive Mappings |
| title_full | Approximation of Fixed Points and Best Proximity Points of Relatively Nonexpansive Mappings |
| title_fullStr | Approximation of Fixed Points and Best Proximity Points of Relatively Nonexpansive Mappings |
| title_full_unstemmed | Approximation of Fixed Points and Best Proximity Points of Relatively Nonexpansive Mappings |
| title_short | Approximation of Fixed Points and Best Proximity Points of Relatively Nonexpansive Mappings |
| title_sort | approximation of fixed points and best proximity points of relatively nonexpansive mappings |
| url | http://dx.doi.org/10.1155/2020/8821553 |
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