Approximating Fixed Points of Relatively Nonexpansive Mappings via Thakur Iteration
dc.contributor.author | Pragadeeswarar, V. | |
dc.contributor.author | Raju, Gopi | |
dc.contributor.author | De la Sen Parte, Manuel | |
dc.date.accessioned | 2022-08-03T10:23:25Z | |
dc.date.available | 2022-08-03T10:23:25Z | |
dc.date.issued | 2022 | |
dc.identifier.citation | Symmetry 14(6) : (2022) // Article ID 1107 | es_ES |
dc.identifier.issn | 2073-8994 | |
dc.identifier.uri | http://hdl.handle.net/10810/57177 | |
dc.description.abstract | The study of symmetry is a major tool in the nonlinear analysis. The symmetricity of distance function in a metric space plays important role in proving the existence of a fixed point for a self mapping. In this work, we approximate a fixed point of noncyclic relatively nonexpansive mappings by using a three-step Thakur iterative scheme in uniformly convex Banach spaces. We also provide a numerical example where the Thakur iterative scheme is faster than some well known iterative schemes such as Picard, Mann, and Ishikawa iteration. Finally, we provide a stronger version of our proposed theorem via von Neumann sequences. | es_ES |
dc.description.sponsorship | This work has been partially funded by the Basque Government through Grant IT1207-19. | es_ES |
dc.language.iso | eng | es_ES |
dc.publisher | MDPI | es_ES |
dc.rights | info:eu-repo/semantics/openAccess | es_ES |
dc.rights.uri | http://creativecommons.org/licenses/by/4.0/ | |
dc.subject | von Neumann sequences | es_ES |
dc.subject | relatively nonexpansive mappings | es_ES |
dc.subject | best proximity point | es_ES |
dc.subject | fixed point | es_ES |
dc.title | Approximating Fixed Points of Relatively Nonexpansive Mappings via Thakur Iteration | es_ES |
dc.type | info:eu-repo/semantics/article | es_ES |
dc.date.updated | 2022-06-23T12:21:44Z | |
dc.rights.holder | © 2022 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https:// creativecommons.org/licenses/by/ 4.0/). | es_ES |
dc.relation.publisherversion | https://www.mdpi.com/2073-8994/14/6/1107 | es_ES |
dc.identifier.doi | 10.3390/sym14061107 | |
dc.departamentoes | Electricidad y electrónica | |
dc.departamentoeu | Elektrizitatea eta elektronika |
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