Approximating Fixed Points of Reich–Suzuki Type Nonexpansive Mappings in Hyperbolic Spaces
In this work, we prove some strong and Δ convergence results for Reich-Suzuki type nonexpansive mappings through M iterative process. A uniformly convex hyperbolic metric space is used as underlying setting for our approach. We also provide an illustrate numerical example. Our results improve and ex...
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| Main Authors: | , , , |
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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/10.1155/2020/2169652 |
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| author | Kifayat Ullah Junaid Ahmad Manuel De La Sen Muhammad Naveed Khan |
| author_facet | Kifayat Ullah Junaid Ahmad Manuel De La Sen Muhammad Naveed Khan |
| author_sort | Kifayat Ullah |
| collection | DOAJ |
| description | In this work, we prove some strong and Δ convergence results for Reich-Suzuki type nonexpansive mappings through M iterative process. A uniformly convex hyperbolic metric space is used as underlying setting for our approach. We also provide an illustrate numerical example. Our results improve and extend some recently announced results of the metric fixed-point theory. |
| format | Article |
| id | doaj-art-fd969359231e4eef823959d23291c51e |
| 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-fd969359231e4eef823959d23291c51e2025-08-20T02:22:38ZengWileyJournal of Mathematics2314-46292314-47852020-01-01202010.1155/2020/21696522169652Approximating Fixed Points of Reich–Suzuki Type Nonexpansive Mappings in Hyperbolic SpacesKifayat Ullah0Junaid Ahmad1Manuel De La Sen2Muhammad Naveed Khan3Department 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, Leioa 48940, SpainDepartment of Mathematics, University of Science and Technology, Bannu 28100, Khyber Pakhtunkhwa, PakistanIn this work, we prove some strong and Δ convergence results for Reich-Suzuki type nonexpansive mappings through M iterative process. A uniformly convex hyperbolic metric space is used as underlying setting for our approach. We also provide an illustrate numerical example. Our results improve and extend some recently announced results of the metric fixed-point theory.http://dx.doi.org/10.1155/2020/2169652 |
| spellingShingle | Kifayat Ullah Junaid Ahmad Manuel De La Sen Muhammad Naveed Khan Approximating Fixed Points of Reich–Suzuki Type Nonexpansive Mappings in Hyperbolic Spaces Journal of Mathematics |
| title | Approximating Fixed Points of Reich–Suzuki Type Nonexpansive Mappings in Hyperbolic Spaces |
| title_full | Approximating Fixed Points of Reich–Suzuki Type Nonexpansive Mappings in Hyperbolic Spaces |
| title_fullStr | Approximating Fixed Points of Reich–Suzuki Type Nonexpansive Mappings in Hyperbolic Spaces |
| title_full_unstemmed | Approximating Fixed Points of Reich–Suzuki Type Nonexpansive Mappings in Hyperbolic Spaces |
| title_short | Approximating Fixed Points of Reich–Suzuki Type Nonexpansive Mappings in Hyperbolic Spaces |
| title_sort | approximating fixed points of reich suzuki type nonexpansive mappings in hyperbolic spaces |
| url | http://dx.doi.org/10.1155/2020/2169652 |
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