Wardowski conditions to the coincidence problem

In this article we first discuss the existence and uniqueness of a solution for the coincidence problem: Find p ∈ X such that Tp = Sp, where X is a nonempty set, Y is a complete metric space, and T, S:X → Y are two mappings satisfying a Wardowski type condition of contractivity. Later on, we will st...

Descripción completa

Detalles Bibliográficos
Autores: Ariza Ruiz, David, García Falset, Jesús, Sadarangan, Kishin
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2015
País:España
Institución:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/48634
Acceso en línea:http://hdl.handle.net/11441/48634
https://doi.org/10.3389/fams.2015.00009
Access Level:acceso abierto
Palabra clave:Coincidence points
Iterative methods
Rate of convergence
Common fixed points
id ES_adbc9b52c940e37dc6f3fa69ebf42f02
oai_identifier_str oai:idus.us.es:11441/48634
network_acronym_str ES
network_name_str España
repository_id_str
spelling Wardowski conditions to the coincidence problemAriza Ruiz, DavidGarcía Falset, JesúsSadarangan, KishinCoincidence pointsIterative methodsRate of convergenceCommon fixed pointsIn this article we first discuss the existence and uniqueness of a solution for the coincidence problem: Find p ∈ X such that Tp = Sp, where X is a nonempty set, Y is a complete metric space, and T, S:X → Y are two mappings satisfying a Wardowski type condition of contractivity. Later on, we will state the convergence of the Picard-Juncgk iteration process to the above coincidence problem as well as a rate of convergence for this iteration scheme. Finally, we shall apply our results to study the existence and uniqueness of a solution as well as the convergence of the Picard-Juncgk iteration process toward the solution of a second order differential equation.Ministerio de Economía y CompetitividadJunta de AndalucíaFrontiers MediaAnálisis MatemáticoFQM127: Análisis Funcional no LinealMinisterio de Economía y Competitividad (MINECO). EspañaJunta de Andalucía2015info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfapplication/pdfhttp://hdl.handle.net/11441/48634https://doi.org/10.3389/fams.2015.00009reponame:idUS. Depósito de Investigación de la Universidad de Sevillainstname:Universidad de Sevilla (US)InglésFrontiers in Applied Mathematics and Statistics, 1 (9), 1-7.info:eu-repo/grantAgreement/MINECO/MTM2012-34847-C02-01/P08-FQM-03453info:eu-repo/grantAgreement/MINECO/MTM2012-34847-C02-02/http://journal.frontiersin.org/article/10.3389/fams.2015.00009/fullinfo:eu-repo/semantics/openAccessoai:idus.us.es:11441/486342026-06-17T12:51:07Z
dc.title.none.fl_str_mv Wardowski conditions to the coincidence problem
title Wardowski conditions to the coincidence problem
spellingShingle Wardowski conditions to the coincidence problem
Ariza Ruiz, David
Coincidence points
Iterative methods
Rate of convergence
Common fixed points
title_short Wardowski conditions to the coincidence problem
title_full Wardowski conditions to the coincidence problem
title_fullStr Wardowski conditions to the coincidence problem
title_full_unstemmed Wardowski conditions to the coincidence problem
title_sort Wardowski conditions to the coincidence problem
dc.creator.none.fl_str_mv Ariza Ruiz, David
García Falset, Jesús
Sadarangan, Kishin
author Ariza Ruiz, David
author_facet Ariza Ruiz, David
García Falset, Jesús
Sadarangan, Kishin
author_role author
author2 García Falset, Jesús
Sadarangan, Kishin
author2_role author
author
dc.contributor.none.fl_str_mv Análisis Matemático
FQM127: Análisis Funcional no Lineal
Ministerio de Economía y Competitividad (MINECO). España
Junta de Andalucía
dc.subject.none.fl_str_mv Coincidence points
Iterative methods
Rate of convergence
Common fixed points
topic Coincidence points
Iterative methods
Rate of convergence
Common fixed points
description In this article we first discuss the existence and uniqueness of a solution for the coincidence problem: Find p ∈ X such that Tp = Sp, where X is a nonempty set, Y is a complete metric space, and T, S:X → Y are two mappings satisfying a Wardowski type condition of contractivity. Later on, we will state the convergence of the Picard-Juncgk iteration process to the above coincidence problem as well as a rate of convergence for this iteration scheme. Finally, we shall apply our results to study the existence and uniqueness of a solution as well as the convergence of the Picard-Juncgk iteration process toward the solution of a second order differential equation.
publishDate 2015
dc.date.none.fl_str_mv 2015
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11441/48634
https://doi.org/10.3389/fams.2015.00009
url http://hdl.handle.net/11441/48634
https://doi.org/10.3389/fams.2015.00009
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv Frontiers in Applied Mathematics and Statistics, 1 (9), 1-7.
info:eu-repo/grantAgreement/MINECO/MTM2012-34847-C02-01/
P08-FQM-03453
info:eu-repo/grantAgreement/MINECO/MTM2012-34847-C02-02/
http://journal.frontiersin.org/article/10.3389/fams.2015.00009/full
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv Frontiers Media
publisher.none.fl_str_mv Frontiers Media
dc.source.none.fl_str_mv reponame:idUS. Depósito de Investigación de la Universidad de Sevilla
instname:Universidad de Sevilla (US)
instname_str Universidad de Sevilla (US)
reponame_str idUS. Depósito de Investigación de la Universidad de Sevilla
collection idUS. Depósito de Investigación de la Universidad de Sevilla
repository.name.fl_str_mv
repository.mail.fl_str_mv
_version_ 1869416484214669312
score 15,300724

Similares en LA Referencia