Asymptotically nonexpansive mappings in modular function spaces

In this paper, we prove that if ρ is a convex, σ-finite modular function satisfying a ∆2-type condition, C a convex, ρ-bounded, ρ-a.e. compact subset of Lρ and T : C → C a ρ-asymptotically nonexpansive mapping, then T has a fixed point. In particular, any asymptotically nonexpansive self-map defined...

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Detalles Bibliográficos
Autores: Domínguez Benavides, Tomás, Khamsi, Mohamed Amine, Samadi, Sedki
Tipo de recurso: artículo
Estado:Versión enviada para evaluación y publicación
Fecha de publicación:2002
País:España
Institución:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/45283
Acceso en línea:http://hdl.handle.net/11441/45283
https://doi.org/10.1006/jmaa.2000.7275
Access Level:acceso abierto
Palabra clave:Asymptotically nonexpansive mappings
Fixed point
Modular functions
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spelling Asymptotically nonexpansive mappings in modular function spacesDomínguez Benavides, TomásKhamsi, Mohamed AmineSamadi, SedkiAsymptotically nonexpansive mappingsFixed pointModular functionsIn this paper, we prove that if ρ is a convex, σ-finite modular function satisfying a ∆2-type condition, C a convex, ρ-bounded, ρ-a.e. compact subset of Lρ and T : C → C a ρ-asymptotically nonexpansive mapping, then T has a fixed point. In particular, any asymptotically nonexpansive self-map defined on a convex subset of L1 (Ω, µ) which is compact for the topology of local convergence in measure has a fixed point.Dirección General de Investigación Científica y TécnicaPlan Andaluz de Investigación (Junta de Andalucía)ElsevierAnálisis MatemáticoFQM127: Análisis Funcional no LinealDirección General de Investigación Científica y Técnica (DGICYT). EspañaJunta de Andalucía2002info:eu-repo/semantics/articleinfo:eu-repo/semantics/submittedVersionapplication/pdfapplication/pdfhttp://hdl.handle.net/11441/45283https://doi.org/10.1006/jmaa.2000.7275reponame:idUS. Depósito de Investigación de la Universidad de Sevillainstname:Universidad de Sevilla (US)InglésJournal of Mathematical Analysis and Applications, 265 (2), 249-263.PB-96-1338-C01-C02PAI-FMQ-0127http://ac.els-cdn.com/S0022247X00972755/1-s2.0-S0022247X00972755-main.pdf?_tid=4ec88c5c-80b5-11e6-b755-00000aacb35d&acdnat=1474542868_30ca11e401e6bc5a5fa03789e41a66f7info:eu-repo/semantics/openAccessoai:idus.us.es:11441/452832026-06-17T12:51:07Z
dc.title.none.fl_str_mv Asymptotically nonexpansive mappings in modular function spaces
title Asymptotically nonexpansive mappings in modular function spaces
spellingShingle Asymptotically nonexpansive mappings in modular function spaces
Domínguez Benavides, Tomás
Asymptotically nonexpansive mappings
Fixed point
Modular functions
title_short Asymptotically nonexpansive mappings in modular function spaces
title_full Asymptotically nonexpansive mappings in modular function spaces
title_fullStr Asymptotically nonexpansive mappings in modular function spaces
title_full_unstemmed Asymptotically nonexpansive mappings in modular function spaces
title_sort Asymptotically nonexpansive mappings in modular function spaces
dc.creator.none.fl_str_mv Domínguez Benavides, Tomás
Khamsi, Mohamed Amine
Samadi, Sedki
author Domínguez Benavides, Tomás
author_facet Domínguez Benavides, Tomás
Khamsi, Mohamed Amine
Samadi, Sedki
author_role author
author2 Khamsi, Mohamed Amine
Samadi, Sedki
author2_role author
author
dc.contributor.none.fl_str_mv Análisis Matemático
FQM127: Análisis Funcional no Lineal
Dirección General de Investigación Científica y Técnica (DGICYT). España
Junta de Andalucía
dc.subject.none.fl_str_mv Asymptotically nonexpansive mappings
Fixed point
Modular functions
topic Asymptotically nonexpansive mappings
Fixed point
Modular functions
description In this paper, we prove that if ρ is a convex, σ-finite modular function satisfying a ∆2-type condition, C a convex, ρ-bounded, ρ-a.e. compact subset of Lρ and T : C → C a ρ-asymptotically nonexpansive mapping, then T has a fixed point. In particular, any asymptotically nonexpansive self-map defined on a convex subset of L1 (Ω, µ) which is compact for the topology of local convergence in measure has a fixed point.
publishDate 2002
dc.date.none.fl_str_mv 2002
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/submittedVersion
format article
status_str submittedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11441/45283
https://doi.org/10.1006/jmaa.2000.7275
url http://hdl.handle.net/11441/45283
https://doi.org/10.1006/jmaa.2000.7275
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv Journal of Mathematical Analysis and Applications, 265 (2), 249-263.
PB-96-1338-C01-C02
PAI-FMQ-0127
http://ac.els-cdn.com/S0022247X00972755/1-s2.0-S0022247X00972755-main.pdf?_tid=4ec88c5c-80b5-11e6-b755-00000aacb35d&acdnat=1474542868_30ca11e401e6bc5a5fa03789e41a66f7
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 15.300724

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