Best proximity and fixed point results for cyclic multivalued mappings under a generalized contractive condition

This paper is devoted to investigating the existence of fixed points and best proximity points of multivalued cyclic self-mappings in metric spaces under a generalized contractive condition involving Hausdorff distances. Some background results for cyclic self-mappings or for multivalued self-mappin...

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Authors: De la Sen, Manuel|||0000-0001-9320-9433, Singh, Shyam Lal, Gordji, Madjid Eshaghi, Ibeas, Asier|||0000-0001-5094-3152, Agarwal, Ravi P.|||0000-0003-0075-1704
Format: article
Publication Date:2013
Country:España
Institution:Universitat Autònoma de Barcelona
Repository:Dipòsit Digital de Documents de la UAB
Language:English
OAI Identifier:oai:ddd.uab.cat:204056
Online Access:https://ddd.uab.cat/record/204056
https://dx.doi.org/urn:doi:10.1186/1687-1812-2013-324
Access Level:Open access
Keyword:Best proximity points
Cyclic self-mappings
Fixed points
Metric space
Multi-control
Multivalued self-mappings
Uniform convex Banach space
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repository_id_str
spelling Best proximity and fixed point results for cyclic multivalued mappings under a generalized contractive conditionDe la Sen, Manuel|||0000-0001-9320-9433Singh, Shyam LalGordji, Madjid EshaghiIbeas, Asier|||0000-0001-5094-3152Agarwal, Ravi P.|||0000-0003-0075-1704Best proximity pointsCyclic self-mappingsFixed pointsMetric spaceMulti-controlMultivalued self-mappingsUniform convex Banach spaceThis paper is devoted to investigating the existence of fixed points and best proximity points of multivalued cyclic self-mappings in metric spaces under a generalized contractive condition involving Hausdorff distances. Some background results for cyclic self-mappings or for multivalued self-mappings in metric fixed point theory are extended to cyclic multivalued self-mappings. An example concerned with the global stability of a time-varying discrete-time system is also discussed by applying some of the results obtained in this paper. Such an example includes the analysis with numerical simulations of two particular cases which are focused on switched discrete-time control and integrate the associate theory in the context of multivalued mappings. 22013-01-0120132013-01-01Articlehttp://purl.org/coar/resource_type/c_6501VoRhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleapplication/pdfhttps://ddd.uab.cat/record/204056https://dx.doi.org/urn:doi:10.1186/1687-1812-2013-324reponame:Dipòsit Digital de Documents de la UABinstname:Universitat Autònoma de BarcelonaInglésengMinisterio de Economía y Competitividad https://doi.org/10.13039/501100003329 DPI2012-30651open accesshttp://purl.org/coar/access_right/c_abf2Aquest document està subjecte a una llicència d'ús Creative Commons. Es permet la reproducció total o parcial, la distribució, la comunicació pública de l'obra i la creació d'obres derivades, fins i tot amb finalitats comercials, sempre i quan es reconegui l'autoria de l'obra original.https://creativecommons.org/licenses/by/4.0/info:eu-repo/semantics/openAccessoai:ddd.uab.cat:2040562026-06-06T12:50:31Z
dc.title.none.fl_str_mv Best proximity and fixed point results for cyclic multivalued mappings under a generalized contractive condition
title Best proximity and fixed point results for cyclic multivalued mappings under a generalized contractive condition
spellingShingle Best proximity and fixed point results for cyclic multivalued mappings under a generalized contractive condition
De la Sen, Manuel|||0000-0001-9320-9433
Best proximity points
Cyclic self-mappings
Fixed points
Metric space
Multi-control
Multivalued self-mappings
Uniform convex Banach space
title_short Best proximity and fixed point results for cyclic multivalued mappings under a generalized contractive condition
title_full Best proximity and fixed point results for cyclic multivalued mappings under a generalized contractive condition
title_fullStr Best proximity and fixed point results for cyclic multivalued mappings under a generalized contractive condition
title_full_unstemmed Best proximity and fixed point results for cyclic multivalued mappings under a generalized contractive condition
title_sort Best proximity and fixed point results for cyclic multivalued mappings under a generalized contractive condition
dc.creator.none.fl_str_mv De la Sen, Manuel|||0000-0001-9320-9433
Singh, Shyam Lal
Gordji, Madjid Eshaghi
Ibeas, Asier|||0000-0001-5094-3152
Agarwal, Ravi P.|||0000-0003-0075-1704
author De la Sen, Manuel|||0000-0001-9320-9433
author_facet De la Sen, Manuel|||0000-0001-9320-9433
Singh, Shyam Lal
Gordji, Madjid Eshaghi
Ibeas, Asier|||0000-0001-5094-3152
Agarwal, Ravi P.|||0000-0003-0075-1704
author_role author
author2 Singh, Shyam Lal
Gordji, Madjid Eshaghi
Ibeas, Asier|||0000-0001-5094-3152
Agarwal, Ravi P.|||0000-0003-0075-1704
author2_role author
author
author
author
dc.subject.none.fl_str_mv Best proximity points
Cyclic self-mappings
Fixed points
Metric space
Multi-control
Multivalued self-mappings
Uniform convex Banach space
topic Best proximity points
Cyclic self-mappings
Fixed points
Metric space
Multi-control
Multivalued self-mappings
Uniform convex Banach space
description This paper is devoted to investigating the existence of fixed points and best proximity points of multivalued cyclic self-mappings in metric spaces under a generalized contractive condition involving Hausdorff distances. Some background results for cyclic self-mappings or for multivalued self-mappings in metric fixed point theory are extended to cyclic multivalued self-mappings. An example concerned with the global stability of a time-varying discrete-time system is also discussed by applying some of the results obtained in this paper. Such an example includes the analysis with numerical simulations of two particular cases which are focused on switched discrete-time control and integrate the associate theory in the context of multivalued mappings.
publishDate 2013
dc.date.none.fl_str_mv 2
2013-01-01
2013
2013-01-01
dc.type.none.fl_str_mv 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://ddd.uab.cat/record/204056
https://dx.doi.org/urn:doi:10.1186/1687-1812-2013-324
url https://ddd.uab.cat/record/204056
https://dx.doi.org/urn:doi:10.1186/1687-1812-2013-324
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.relation.none.fl_str_mv Ministerio de Economía y Competitividad https://doi.org/10.13039/501100003329 DPI2012-30651
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
https://creativecommons.org/licenses/by/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
https://creativecommons.org/licenses/by/4.0/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv reponame:Dipòsit Digital de Documents de la UAB
instname:Universitat Autònoma de Barcelona
instname_str Universitat Autònoma de Barcelona
reponame_str Dipòsit Digital de Documents de la UAB
collection Dipòsit Digital de Documents de la UAB
repository.name.fl_str_mv
repository.mail.fl_str_mv
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