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Contractive Inequalities for Some Asymptotically Regular Set-Valued Mappings and Their Fixed Points

dc.contributor.authorDebnath, Pradip
dc.contributor.authorDe la Sen Parte, Manuel ORCID
dc.date.accessioned2020-04-22T18:17:34Z
dc.date.available2020-04-22T18:17:34Z
dc.date.issued2020-03-04
dc.identifier.citationSymmetry 12(3) : (2020) // Aricle ID 411es_ES
dc.identifier.issn2073-8994
dc.identifier.urihttp://hdl.handle.net/10810/42856
dc.description.abstractThe symmetry concept is a congenital characteristic of the metric function. In this paper, our primary aim is to study the fixed points of a broad category of set-valued maps which may include discontinuous maps as well. To achieve this objective, we newly extend the notions of orbitally continuous and asymptotically regular mappings in the set-valued context. We introduce two new contractive inequalities one of which is of Geraghty-type and the other is of Boyd and Wong-type. We proved two new existence of fixed point results corresponding to those inequalities.es_ES
dc.description.sponsorshipResearch of the first author P.D. is supported by UGC (Ministry of HRD, Govt. of India) through UGC-BSR Start-Up Grant vide letter No. F.30-452/2018(BSR) dated 12 February 2019. The author M.d.L.S. acknowledges the Grant IT 1207-19 from Basque Government.es_ES
dc.language.isoenges_ES
dc.publisherMDPIes_ES
dc.rightsinfo:eu-repo/semantics/openAccesses_ES
dc.rights.urihttp://creativecommons.org/licenses/by/3.0/es/
dc.subjectfixed pointes_ES
dc.subjectasymptotically regular mapes_ES
dc.subjectset-valued mapes_ES
dc.subjectmetric spacees_ES
dc.subjectorbitally continuous mapes_ES
dc.titleContractive Inequalities for Some Asymptotically Regular Set-Valued Mappings and Their Fixed Pointses_ES
dc.typeinfo:eu-repo/semantics/articlees_ES
dc.date.updated2020-03-27T14:55:19Z
dc.rights.holder© 2020 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 (http://creativecommons.org/licenses/by/4.0/).es_ES
dc.relation.publisherversionhttps://www.mdpi.com/2073-8994/12/3/411es_ES
dc.identifier.doi10.3390/sym12030411
dc.departamentoesElectricidad y electrónica
dc.departamentoeuElektrizitatea eta elektronika


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© 2020 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 (http://creativecommons.org/licenses/by/4.0/).
Except where otherwise noted, this item's license is described as © 2020 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 (http://creativecommons.org/licenses/by/4.0/).