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

The 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...

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Autores: Debnath, Pradip, De la Sen Parte, Manuel
Tipo de recurso: artículo
Fecha de publicación:2020
País:España
Institución:Universidad del País Vasco
Repositorio:Addi. Archivo Digital para la Docencia y la Investigación
OAI Identifier:oai:addi.ehu.eus:10810/42856
Acceso en línea:http://hdl.handle.net/10810/42856
Access Level:acceso abierto
Palabra clave:fixed point
asymptotically regular map
set-valued map
metric space
orbitally continuous map
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spelling Contractive Inequalities for Some Asymptotically Regular Set-Valued Mappings and Their Fixed PointsDebnath, PradipDe la Sen Parte, Manuelfixed pointasymptotically regular mapset-valued mapmetric spaceorbitally continuous mapThe 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.Research 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.MDPI2020202020202020info:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10810/42856reponame:Addi. Archivo Digital para la Docencia y la Investigacióninstname:Universidad del País VascoIngléshttps://www.mdpi.com/2073-8994/12/3/411info:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by/3.0/es/© 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/).oai:addi.ehu.eus:10810/428562026-06-18T09:23:17Z
dc.title.none.fl_str_mv Contractive Inequalities for Some Asymptotically Regular Set-Valued Mappings and Their Fixed Points
title Contractive Inequalities for Some Asymptotically Regular Set-Valued Mappings and Their Fixed Points
spellingShingle Contractive Inequalities for Some Asymptotically Regular Set-Valued Mappings and Their Fixed Points
Debnath, Pradip
fixed point
asymptotically regular map
set-valued map
metric space
orbitally continuous map
title_short Contractive Inequalities for Some Asymptotically Regular Set-Valued Mappings and Their Fixed Points
title_full Contractive Inequalities for Some Asymptotically Regular Set-Valued Mappings and Their Fixed Points
title_fullStr Contractive Inequalities for Some Asymptotically Regular Set-Valued Mappings and Their Fixed Points
title_full_unstemmed Contractive Inequalities for Some Asymptotically Regular Set-Valued Mappings and Their Fixed Points
title_sort Contractive Inequalities for Some Asymptotically Regular Set-Valued Mappings and Their Fixed Points
dc.creator.none.fl_str_mv Debnath, Pradip
De la Sen Parte, Manuel
author Debnath, Pradip
author_facet Debnath, Pradip
De la Sen Parte, Manuel
author_role author
author2 De la Sen Parte, Manuel
author2_role author
dc.subject.none.fl_str_mv fixed point
asymptotically regular map
set-valued map
metric space
orbitally continuous map
topic fixed point
asymptotically regular map
set-valued map
metric space
orbitally continuous map
description The 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.
publishDate 2020
dc.date.none.fl_str_mv 2020
2020
2020
2020
dc.type.none.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv http://hdl.handle.net/10810/42856
url http://hdl.handle.net/10810/42856
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv https://www.mdpi.com/2073-8994/12/3/411
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
http://creativecommons.org/licenses/by/3.0/es/
eu_rights_str_mv openAccess
rights_invalid_str_mv http://creativecommons.org/licenses/by/3.0/es/
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv MDPI
publisher.none.fl_str_mv MDPI
dc.source.none.fl_str_mv reponame:Addi. Archivo Digital para la Docencia y la Investigación
instname:Universidad del País Vasco
instname_str Universidad del País Vasco
reponame_str Addi. Archivo Digital para la Docencia y la Investigación
collection Addi. Archivo Digital para la Docencia y la Investigación
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,300724

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