The Schauder fixed point theorem in geodesic spaces

We give a direct proof of Schauder's fixed point theorem in the setting of geodesic metric spaces, generalizing the classical Schauder's theorem and improving a recent version of this theorem in CAT(k) spaces. As an application we prove an existence result for a variational inequality in t...

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Detalhes bibliográficos
Autores: Ariza Ruiz, David, Li, Chong, López Acedo, Genaro
Formato: artículo
Estado:Versión publicada
Fecha de publicación:2014
País:España
Recursos:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/182153
Acesso em linha:https://hdl.handle.net/11441/182153
https://doi.org/10.1016/j.jmaa.2014.03.002
Access Level:acceso abierto
Palavra-chave:Fixed point
Geodesic spaces
Hyperbolic spaces
Leray–Schauder condition
Variational inequality
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spelling The Schauder fixed point theorem in geodesic spacesAriza Ruiz, DavidLi, ChongLópez Acedo, GenaroFixed pointGeodesic spacesHyperbolic spacesLeray–Schauder conditionVariational inequalityWe give a direct proof of Schauder's fixed point theorem in the setting of geodesic metric spaces, generalizing the classical Schauder's theorem and improving a recent version of this theorem in CAT(k) spaces. As an application we prove an existence result for a variational inequality in the setting of CAT(k) spaces.ElsevierAnálisis MatemáticoFQM127: Análisis Funcional no Lineal2014info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfapplication/pdfhttps://hdl.handle.net/11441/182153https://doi.org/10.1016/j.jmaa.2014.03.002reponame:idUS. Depósito de Investigación de la Universidad de Sevillainstname:Universidad de Sevilla (US)InglésJournal of Mathematical Analysis and Applications, 417 (1), 345-360.10.1016/j.jmaa.2014.03.002info:eu-repo/semantics/openAccessoai:idus.us.es:11441/1821532026-06-17T12:51:07Z
dc.title.none.fl_str_mv The Schauder fixed point theorem in geodesic spaces
title The Schauder fixed point theorem in geodesic spaces
spellingShingle The Schauder fixed point theorem in geodesic spaces
Ariza Ruiz, David
Fixed point
Geodesic spaces
Hyperbolic spaces
Leray–Schauder condition
Variational inequality
title_short The Schauder fixed point theorem in geodesic spaces
title_full The Schauder fixed point theorem in geodesic spaces
title_fullStr The Schauder fixed point theorem in geodesic spaces
title_full_unstemmed The Schauder fixed point theorem in geodesic spaces
title_sort The Schauder fixed point theorem in geodesic spaces
dc.creator.none.fl_str_mv Ariza Ruiz, David
Li, Chong
López Acedo, Genaro
author Ariza Ruiz, David
author_facet Ariza Ruiz, David
Li, Chong
López Acedo, Genaro
author_role author
author2 Li, Chong
López Acedo, Genaro
author2_role author
author
dc.contributor.none.fl_str_mv Análisis Matemático
FQM127: Análisis Funcional no Lineal
dc.subject.none.fl_str_mv Fixed point
Geodesic spaces
Hyperbolic spaces
Leray–Schauder condition
Variational inequality
topic Fixed point
Geodesic spaces
Hyperbolic spaces
Leray–Schauder condition
Variational inequality
description We give a direct proof of Schauder's fixed point theorem in the setting of geodesic metric spaces, generalizing the classical Schauder's theorem and improving a recent version of this theorem in CAT(k) spaces. As an application we prove an existence result for a variational inequality in the setting of CAT(k) spaces.
publishDate 2014
dc.date.none.fl_str_mv 2014
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 https://hdl.handle.net/11441/182153
https://doi.org/10.1016/j.jmaa.2014.03.002
url https://hdl.handle.net/11441/182153
https://doi.org/10.1016/j.jmaa.2014.03.002
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv Journal of Mathematical Analysis and Applications, 417 (1), 345-360.
10.1016/j.jmaa.2014.03.002
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 Elsevier
publisher.none.fl_str_mv Elsevier
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
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score 15,81155

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