Weak proximal normal structure and coincidence quasi-best proximity points

[EN] We introduce the notion of pointwise cyclic-noncyclic relatively nonexpansive pairs involving orbits. We study the best proximity point problem for this class of mappings. We also study the same problem for the class of pointwise noncyclic-noncyclic relatively nonexpansive pairs involving orbit...

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Detalles Bibliográficos
Autores: Fouladi, Farhad, Abkar, Ali, Karapinar, Erdal
Tipo de recurso: artículo
Fecha de publicación:2020
País:España
Institución:Universitat Politècnica de València (UPV)
Repositorio:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
Idioma:inglés
OAI Identifier:oai:riunet.upv.es:10251/151358
Acceso en línea:https://riunet.upv.es/handle/10251/151358
Access Level:acceso abierto
Palabra clave:Pointwise cyclic-noncyclic pairs
Weak proximal normal structure
Coincidence quasi-best proximity point
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spelling Weak proximal normal structure and coincidence quasi-best proximity pointsFouladi, FarhadAbkar, AliKarapinar, ErdalPointwise cyclic-noncyclic pairsWeak proximal normal structureCoincidence quasi-best proximity point[EN] We introduce the notion of pointwise cyclic-noncyclic relatively nonexpansive pairs involving orbits. We study the best proximity point problem for this class of mappings. We also study the same problem for the class of pointwise noncyclic-noncyclic relatively nonexpansive pairs involving orbits. Finally, under the assumption of weak proximal normal structure, we prove a coincidence quasi-best proximity point theorem for pointwise cyclic-noncyclic relatively nonexpansive pairs involving orbits. Examples are provided to illustrate the observed results.Universitat Politècnica de ValènciaRepositorio Institucional de la Universitat Politècnica de València Riunet20202020-10-01journal articlehttp://purl.org/coar/resource_type/c_6501VoRhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleapplication/pdfhttps://riunet.upv.es/handle/10251/151358reponame:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valénciainstname:Universitat Politècnica de València (UPV)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2Reconocimiento - No comercial - Sin obra derivada (by-nc-nd) http://creativecommons.org/licenses/by-nc-nd/4.0/info:eu-repo/semantics/openAccessoai:riunet.upv.es:10251/1513582026-06-13T07:49:27Z
dc.title.none.fl_str_mv Weak proximal normal structure and coincidence quasi-best proximity points
title Weak proximal normal structure and coincidence quasi-best proximity points
spellingShingle Weak proximal normal structure and coincidence quasi-best proximity points
Fouladi, Farhad
Pointwise cyclic-noncyclic pairs
Weak proximal normal structure
Coincidence quasi-best proximity point
title_short Weak proximal normal structure and coincidence quasi-best proximity points
title_full Weak proximal normal structure and coincidence quasi-best proximity points
title_fullStr Weak proximal normal structure and coincidence quasi-best proximity points
title_full_unstemmed Weak proximal normal structure and coincidence quasi-best proximity points
title_sort Weak proximal normal structure and coincidence quasi-best proximity points
dc.creator.none.fl_str_mv Fouladi, Farhad
Abkar, Ali
Karapinar, Erdal
author Fouladi, Farhad
author_facet Fouladi, Farhad
Abkar, Ali
Karapinar, Erdal
author_role author
author2 Abkar, Ali
Karapinar, Erdal
author2_role author
author
dc.contributor.none.fl_str_mv Repositorio Institucional de la Universitat Politècnica de València Riunet
dc.subject.none.fl_str_mv Pointwise cyclic-noncyclic pairs
Weak proximal normal structure
Coincidence quasi-best proximity point
topic Pointwise cyclic-noncyclic pairs
Weak proximal normal structure
Coincidence quasi-best proximity point
description [EN] We introduce the notion of pointwise cyclic-noncyclic relatively nonexpansive pairs involving orbits. We study the best proximity point problem for this class of mappings. We also study the same problem for the class of pointwise noncyclic-noncyclic relatively nonexpansive pairs involving orbits. Finally, under the assumption of weak proximal normal structure, we prove a coincidence quasi-best proximity point theorem for pointwise cyclic-noncyclic relatively nonexpansive pairs involving orbits. Examples are provided to illustrate the observed results.
publishDate 2020
dc.date.none.fl_str_mv 2020
2020-10-01
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
VoR
http://purl.org/coar/version/c_970fb48d4fbd8a85
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://riunet.upv.es/handle/10251/151358
url https://riunet.upv.es/handle/10251/151358
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
Reconocimiento - No comercial - Sin obra derivada (by-nc-nd)
http://creativecommons.org/licenses/by-nc-nd/4.0/
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
Reconocimiento - No comercial - Sin obra derivada (by-nc-nd)
http://creativecommons.org/licenses/by-nc-nd/4.0/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Universitat Politècnica de València
publisher.none.fl_str_mv Universitat Politècnica de València
dc.source.none.fl_str_mv reponame:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
instname:Universitat Politècnica de València (UPV)
instname_str Universitat Politècnica de València (UPV)
reponame_str RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
collection RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,301603

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