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Fixed Point Results on Multi-Valued Generalized (α,β)-Nonexpansive Mappings in Banach Spaces

dc.contributor.authorUllah, Kifayat
dc.contributor.authorKhan, Muhammad Safi Ullah
dc.contributor.authorDe la Sen Parte, Manuel ORCID
dc.contributor.editorMDPI
dc.date.accessioned2021-09-10T09:35:46Z
dc.date.available2021-09-10T09:35:46Z
dc.date.issued2021-07-25
dc.identifier.citationAlgorithms 14(8) : (2021) // Article ID 223es_ES
dc.identifier.issn1999-4893
dc.identifier.urihttp://hdl.handle.net/10810/52953
dc.description.abstractIn 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.sponsorshipThe authors are very grateful to the Basque Government for their support through Grant no. IT1207-19.es_ES
dc.language.isoenges_ES
dc.rightsinfo:eu-repo/semantics/openAccesses_ES
dc.rights.urihttp://creativecommons.org/licenses/by/3.0/es/
dc.subjectmulti-valued generalized (α,β)-nonexpansive mappingses_ES
dc.subjectM-iteration processes_ES
dc.subjectuniformly convex Banach spacees_ES
dc.subjectfixed pointes_ES
dc.subjectstrong convergencees_ES
dc.subjectweak convergencees_ES
dc.titleFixed Point Results on Multi-Valued Generalized (α,β)-Nonexpansive Mappings in Banach Spaceses_ES
dc.typeinfo:eu-repo/semantics/articlees_ES
dc.date.updated2021-09-09T13:39:55Z
dc.rights.holder2021 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.publisherversionhttps://www.mdpi.com/1999-4893/14/8/223/htmes_ES
dc.identifier.doi10.3390/a14080223
dc.departamentoesElectricidad y electrónica
dc.departamentoeuElektrizitatea eta elektronika


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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/).
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/).