On contractive cyclic fuzzy maps in metric spaces and some related results on fuzzy best proximity points and fuzzy fixed points

This paper investigates some properties of cyclic fuzzy maps in metric spaces. The convergence of distances as well as that of sequences being generated as iterates defined by a class of contractive cyclic fuzzy mapping to fuzzy best proximity points of (non-necessarily intersecting adjacent subsets...

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Detalles Bibliográficos
Autores: De la Sen Parte, Manuel, Roldan, Antonio F., Agarwal, Ravi P.
Tipo de recurso: artículo
Fecha de publicación:2015
País:España
Institución:Universidad del País Vasco
Repositorio:Addi. Archivo Digital para la Docencia y la Investigación
OAI Identifier:oai:addi.ehu.eus:10810/16825
Acceso en línea:http://hdl.handle.net/10810/16825
Access Level:acceso abierto
Palabra clave:fixed and best proximity points
fuzzy cyclic contractive maps
cyclic fuzzy contraction and fuzzy sets
mapping
theorems
sets
GEOMETRY AND TOPOLOGY
MATHEMATICS, APPLIED
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spelling On contractive cyclic fuzzy maps in metric spaces and some related results on fuzzy best proximity points and fuzzy fixed pointsDe la Sen Parte, ManuelRoldan, Antonio F.Agarwal, Ravi P.fixed and best proximity pointsfuzzy cyclic contractive mapscyclic fuzzy contraction and fuzzy setsmappingtheoremssetsGEOMETRY AND TOPOLOGYMATHEMATICS, APPLIEDThis paper investigates some properties of cyclic fuzzy maps in metric spaces. The convergence of distances as well as that of sequences being generated as iterates defined by a class of contractive cyclic fuzzy mapping to fuzzy best proximity points of (non-necessarily intersecting adjacent subsets) of the cyclic disposal is studied. An extension is given for the case when the images of the points of a class of contractive cyclic fuzzy mappings restricted to a particular subset of the cyclic disposal are allowed to lie either in the same subset or in its next adjacent one.The first author thanks the Spanish Ministry of Economy and Competitiveness for partial support of this work through Grant DPI2012-30651. He also thanks the Basque Government for its support through Grant IT378-10, and to the University of Basque Country by its support through Grant UFI 11/07.Springer International Publishing201620162015info:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10810/16825reponame:Addi. Archivo Digital para la Docencia y la Investigacióninstname:Universidad del País VascoIngléshttp://www.fixedpointtheoryandapplications.com/content/2015/1/103info:eu-repo/semantics/openAccess© 2015 De la Sen et al. Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.oai:addi.ehu.eus:10810/168252026-06-18T09:23:17Z
dc.title.none.fl_str_mv On contractive cyclic fuzzy maps in metric spaces and some related results on fuzzy best proximity points and fuzzy fixed points
title On contractive cyclic fuzzy maps in metric spaces and some related results on fuzzy best proximity points and fuzzy fixed points
spellingShingle On contractive cyclic fuzzy maps in metric spaces and some related results on fuzzy best proximity points and fuzzy fixed points
De la Sen Parte, Manuel
fixed and best proximity points
fuzzy cyclic contractive maps
cyclic fuzzy contraction and fuzzy sets
mapping
theorems
sets
GEOMETRY AND TOPOLOGY
MATHEMATICS, APPLIED
title_short On contractive cyclic fuzzy maps in metric spaces and some related results on fuzzy best proximity points and fuzzy fixed points
title_full On contractive cyclic fuzzy maps in metric spaces and some related results on fuzzy best proximity points and fuzzy fixed points
title_fullStr On contractive cyclic fuzzy maps in metric spaces and some related results on fuzzy best proximity points and fuzzy fixed points
title_full_unstemmed On contractive cyclic fuzzy maps in metric spaces and some related results on fuzzy best proximity points and fuzzy fixed points
title_sort On contractive cyclic fuzzy maps in metric spaces and some related results on fuzzy best proximity points and fuzzy fixed points
dc.creator.none.fl_str_mv De la Sen Parte, Manuel
Roldan, Antonio F.
Agarwal, Ravi P.
author De la Sen Parte, Manuel
author_facet De la Sen Parte, Manuel
Roldan, Antonio F.
Agarwal, Ravi P.
author_role author
author2 Roldan, Antonio F.
Agarwal, Ravi P.
author2_role author
author
dc.subject.none.fl_str_mv fixed and best proximity points
fuzzy cyclic contractive maps
cyclic fuzzy contraction and fuzzy sets
mapping
theorems
sets
GEOMETRY AND TOPOLOGY
MATHEMATICS, APPLIED
topic fixed and best proximity points
fuzzy cyclic contractive maps
cyclic fuzzy contraction and fuzzy sets
mapping
theorems
sets
GEOMETRY AND TOPOLOGY
MATHEMATICS, APPLIED
description This paper investigates some properties of cyclic fuzzy maps in metric spaces. The convergence of distances as well as that of sequences being generated as iterates defined by a class of contractive cyclic fuzzy mapping to fuzzy best proximity points of (non-necessarily intersecting adjacent subsets) of the cyclic disposal is studied. An extension is given for the case when the images of the points of a class of contractive cyclic fuzzy mappings restricted to a particular subset of the cyclic disposal are allowed to lie either in the same subset or in its next adjacent one.
publishDate 2015
dc.date.none.fl_str_mv 2015
2016
2016
dc.type.none.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv http://hdl.handle.net/10810/16825
url http://hdl.handle.net/10810/16825
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv http://www.fixedpointtheoryandapplications.com/content/2015/1/103
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Springer International Publishing
publisher.none.fl_str_mv Springer International Publishing
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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