Global optimization using $\alpha$-ordered proximal contractions in metric spaces with partial orders

[EN] The purpose of this article is to establish the global optimization with partial orders for the pair of non-self mappings, by introducing new type of contractions like $\alpha$-ordered contractions and $\alpha$-ordered proximal contraction in the frame work of complete metric spaces. Also calcu...

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Detalles Bibliográficos
Autores: Komal, Somayya, Kumam, Poom
Tipo de recurso: artículo
Fecha de publicación:2016
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:10251/72392
Acceso en línea:https://riunet.upv.es/handle/10251/72392
Access Level:acceso abierto
Palabra clave:Common best proximity point
Global optimal approximate solution
Proximally increasing mappings
α-ordered contractions
α-ordered proximal contraction
α-ordered proximal cyclic contraction
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spelling Global optimization using $\alpha$-ordered proximal contractions in metric spaces with partial ordersKomal, SomayyaKumam, PoomCommon best proximity pointGlobal optimal approximate solutionProximally increasing mappingsα-ordered contractionsα-ordered proximal contractionα-ordered proximal cyclic contraction[EN] The purpose of this article is to establish the global optimization with partial orders for the pair of non-self mappings, by introducing new type of contractions like $\alpha$-ordered contractions and $\alpha$-ordered proximal contraction in the frame work of complete metric spaces. Also calculates some fixed point theorems with the help of these generalized contractions. In addition, established an example to show the validity of our main result. These results extended and unify many existing results in the literature.Somayya Komal was supported by the Petchra Pra Jom Klao Doctoral Scholarship Academic for Ph.D. Program at KMUTT. This project was supported by the Theoretical and Computational Science (TaCS) Center under Computational and Applied Science for Smart Innovation Research Cluster (CLASSIC), Faculty of Science, KMUTT.Universitat Politècnica de ValènciaKing Mongkut's University of Technology ThonburiRepositorio Institucional de la Universitat Politècnica de València Riunet20162016-10-03journal articlehttp://purl.org/coar/resource_type/c_6501VoRhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleapplication/pdfhttps://riunet.upv.es/handle/10251/72392reponame: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:10251/723922026-06-13T07:49:27Z
dc.title.none.fl_str_mv Global optimization using $\alpha$-ordered proximal contractions in metric spaces with partial orders
title Global optimization using $\alpha$-ordered proximal contractions in metric spaces with partial orders
spellingShingle Global optimization using $\alpha$-ordered proximal contractions in metric spaces with partial orders
Komal, Somayya
Common best proximity point
Global optimal approximate solution
Proximally increasing mappings
α-ordered contractions
α-ordered proximal contraction
α-ordered proximal cyclic contraction
title_short Global optimization using $\alpha$-ordered proximal contractions in metric spaces with partial orders
title_full Global optimization using $\alpha$-ordered proximal contractions in metric spaces with partial orders
title_fullStr Global optimization using $\alpha$-ordered proximal contractions in metric spaces with partial orders
title_full_unstemmed Global optimization using $\alpha$-ordered proximal contractions in metric spaces with partial orders
title_sort Global optimization using $\alpha$-ordered proximal contractions in metric spaces with partial orders
dc.creator.none.fl_str_mv Komal, Somayya
Kumam, Poom
author Komal, Somayya
author_facet Komal, Somayya
Kumam, Poom
author_role author
author2 Kumam, Poom
author2_role author
dc.contributor.none.fl_str_mv King Mongkut's University of Technology Thonburi
Repositorio Institucional de la Universitat Politècnica de València Riunet
dc.subject.none.fl_str_mv Common best proximity point
Global optimal approximate solution
Proximally increasing mappings
α-ordered contractions
α-ordered proximal contraction
α-ordered proximal cyclic contraction
topic Common best proximity point
Global optimal approximate solution
Proximally increasing mappings
α-ordered contractions
α-ordered proximal contraction
α-ordered proximal cyclic contraction
description [EN] The purpose of this article is to establish the global optimization with partial orders for the pair of non-self mappings, by introducing new type of contractions like $\alpha$-ordered contractions and $\alpha$-ordered proximal contraction in the frame work of complete metric spaces. Also calculates some fixed point theorems with the help of these generalized contractions. In addition, established an example to show the validity of our main result. These results extended and unify many existing results in the literature.
publishDate 2016
dc.date.none.fl_str_mv 2016
2016-10-03
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/10251/72392
url https://riunet.upv.es/handle/10251/72392
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 15.300719

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