Schaefer–Krasnoselskii fixed point theorems using a usual measure of weak noncompactness

We present some extension of a well-known fixed point theorem due to Burton and Kirk [T.A. Burton, C. Kirk, A fixed point theorem of Krasnoselskii–Schaefer type, Math. Nachr. 189 (1998) 423–431] for the sum of two nonlinear operators one of them compact and the other one a strict contraction. The no...

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Detalles Bibliográficos
Autores: Garcia-Falset, J., Latrach, K., Moreno Gálvez, Elena, Taoudi, M.-A.
Tipo de recurso: artículo
Fecha de publicación:2012
País:España
Institución:Universidad Católica de Valencia San Vicente Mártir
Repositorio:RIUCV. Repositorio de la Universidad Católica de Valencia San Vicente Mártir
Idioma:inglés
OAI Identifier:oai:riucv.ucv.es:20.500.12466/5847
Acceso en línea:http://hdl.handle.net/20.500.12466/5847
Access Level:acceso abierto
Palabra clave:Krasnoselskii fixed point theorem
Measure of weak noncompactness
Nonlinear integral equations
12 Matemáticas
5801 Teoría y Métodos Educativos
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spelling Schaefer–Krasnoselskii fixed point theorems using a usual measure of weak noncompactnessGarcia-Falset, J.Latrach, K.Moreno Gálvez, ElenaTaoudi, M.-A.Krasnoselskii fixed point theoremMeasure of weak noncompactnessNonlinear integral equations12 Matemáticas5801 Teoría y Métodos EducativosWe present some extension of a well-known fixed point theorem due to Burton and Kirk [T.A. Burton, C. Kirk, A fixed point theorem of Krasnoselskii–Schaefer type, Math. Nachr. 189 (1998) 423–431] for the sum of two nonlinear operators one of them compact and the other one a strict contraction. The novelty of our results is that the involved operators need not to be weakly continuous. Finally, an example is given to illustrate our results.20252025-07-0820122012-01-0120122012-01-01journal articlehttp://purl.org/coar/resource_type/c_6501VoRhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/20.500.12466/5847reponame:RIUCV. Repositorio de la Universidad Católica de Valencia San Vicente Mártirinstname:Universidad Católica de Valencia San Vicente MártirInglésengopen accesshttp://purl.org/coar/access_right/c_abf2info:eu-repo/semantics/openAccessoai:riucv.ucv.es:20.500.12466/58472026-06-19T08:32:07Z
dc.title.none.fl_str_mv Schaefer–Krasnoselskii fixed point theorems using a usual measure of weak noncompactness
title Schaefer–Krasnoselskii fixed point theorems using a usual measure of weak noncompactness
spellingShingle Schaefer–Krasnoselskii fixed point theorems using a usual measure of weak noncompactness
Garcia-Falset, J.
Krasnoselskii fixed point theorem
Measure of weak noncompactness
Nonlinear integral equations
12 Matemáticas
5801 Teoría y Métodos Educativos
title_short Schaefer–Krasnoselskii fixed point theorems using a usual measure of weak noncompactness
title_full Schaefer–Krasnoselskii fixed point theorems using a usual measure of weak noncompactness
title_fullStr Schaefer–Krasnoselskii fixed point theorems using a usual measure of weak noncompactness
title_full_unstemmed Schaefer–Krasnoselskii fixed point theorems using a usual measure of weak noncompactness
title_sort Schaefer–Krasnoselskii fixed point theorems using a usual measure of weak noncompactness
dc.creator.none.fl_str_mv Garcia-Falset, J.
Latrach, K.
Moreno Gálvez, Elena
Taoudi, M.-A.
author Garcia-Falset, J.
author_facet Garcia-Falset, J.
Latrach, K.
Moreno Gálvez, Elena
Taoudi, M.-A.
author_role author
author2 Latrach, K.
Moreno Gálvez, Elena
Taoudi, M.-A.
author2_role author
author
author
dc.contributor.none.fl_str_mv
dc.subject.none.fl_str_mv Krasnoselskii fixed point theorem
Measure of weak noncompactness
Nonlinear integral equations
12 Matemáticas
5801 Teoría y Métodos Educativos
topic Krasnoselskii fixed point theorem
Measure of weak noncompactness
Nonlinear integral equations
12 Matemáticas
5801 Teoría y Métodos Educativos
description We present some extension of a well-known fixed point theorem due to Burton and Kirk [T.A. Burton, C. Kirk, A fixed point theorem of Krasnoselskii–Schaefer type, Math. Nachr. 189 (1998) 423–431] for the sum of two nonlinear operators one of them compact and the other one a strict contraction. The novelty of our results is that the involved operators need not to be weakly continuous. Finally, an example is given to illustrate our results.
publishDate 2012
dc.date.none.fl_str_mv 2012
2012-01-01
2012
2012-01-01
2025
2025-07-08
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 http://hdl.handle.net/20.500.12466/5847
url http://hdl.handle.net/20.500.12466/5847
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
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
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv reponame:RIUCV. Repositorio de la Universidad Católica de Valencia San Vicente Mártir
instname:Universidad Católica de Valencia San Vicente Mártir
instname_str Universidad Católica de Valencia San Vicente Mártir
reponame_str RIUCV. Repositorio de la Universidad Católica de Valencia San Vicente Mártir
collection RIUCV. Repositorio de la Universidad Católica de Valencia San Vicente Mártir
repository.name.fl_str_mv
repository.mail.fl_str_mv
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