Fixed Point Results on Multi-Valued Generalized (α,β)-Nonexpansive Mappings in Banach Spaces
dc.contributor.author | Ullah, Kifayat | |
dc.contributor.author | Khan, Muhammad Safi Ullah | |
dc.contributor.author | De la Sen Parte, Manuel | |
dc.contributor.editor | MDPI | |
dc.date.accessioned | 2021-09-10T09:35:46Z | |
dc.date.available | 2021-09-10T09:35:46Z | |
dc.date.issued | 2021-07-25 | |
dc.identifier.citation | Algorithms 14(8) : (2021) // Article ID 223 | es_ES |
dc.identifier.issn | 1999-4893 | |
dc.identifier.uri | http://hdl.handle.net/10810/52953 | |
dc.description.abstract | In this paper, we provide and study the concept of multi-valued generalized (α,β)-nonexpansive mappings, which is the multi-valued version of the recently developed generalized (α,β)-nonexpansive mappings. We establish some elementary properties and fixed point existence results for these mappings. Moreover, a multi-valued version of the M-iterative scheme is proposed for approximating fixed points of these mappings in the weak and strong senses. Using an example, we also show that M-iterative scheme converges faster as compared to many other schemes for this class of mappings. | es_ES |
dc.description.sponsorship | The authors are very grateful to the Basque Government for their support through Grant no. IT1207-19. | es_ES |
dc.language.iso | eng | es_ES |
dc.rights | info:eu-repo/semantics/openAccess | es_ES |
dc.rights.uri | http://creativecommons.org/licenses/by/3.0/es/ | |
dc.subject | multi-valued generalized (α,β)-nonexpansive mappings | es_ES |
dc.subject | M-iteration process | es_ES |
dc.subject | uniformly convex Banach space | es_ES |
dc.subject | fixed point | es_ES |
dc.subject | strong convergence | es_ES |
dc.subject | weak convergence | es_ES |
dc.title | Fixed Point Results on Multi-Valued Generalized (α,β)-Nonexpansive Mappings in Banach Spaces | es_ES |
dc.type | info:eu-repo/semantics/article | es_ES |
dc.date.updated | 2021-09-09T13:39:55Z | |
dc.rights.holder | 2021 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/1999-4893/14/8/223/htm | es_ES |
dc.identifier.doi | 10.3390/a14080223 | |
dc.departamentoes | Electricidad y electrónica | |
dc.departamentoeu | Elektrizitatea eta elektronika |
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Except where otherwise noted, this item's license is described as 2021 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/).