A modification of the convergence conditions for Picard's iteration

Detalhes bibliográficos
Autor(a) principal: Ezquerro,J. A.
Data de Publicação: 2004
Outros Autores: Hernández,M. A.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Computational & Applied Mathematics
Texto Completo: http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1807-03022004000100003
Resumo: The convergence of the method of successive approximations is usually studied by the fixed point theorem. An alternative to this theorem is given in this work, where a contraction mapping is not necessary. An application to nonlinear integral equations of Fredholm type and second kind is also presented.
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spelling A modification of the convergence conditions for Picard's iterationnonlinear equations in Banach spacesPicard's iterationsemilocal convergenceThe convergence of the method of successive approximations is usually studied by the fixed point theorem. An alternative to this theorem is given in this work, where a contraction mapping is not necessary. An application to nonlinear integral equations of Fredholm type and second kind is also presented.Sociedade Brasileira de Matemática Aplicada e Computacional2004-01-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersiontext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S1807-03022004000100003Computational & Applied Mathematics v.23 n.1 2004reponame:Computational & Applied Mathematicsinstname:Sociedade Brasileira de Matemática Aplicada e Computacional (SBMAC)instacron:SBMAC10.1590/S0101-82052004000100003info:eu-repo/semantics/openAccessEzquerro,J. A.Hernández,M. A.eng2004-11-26T00:00:00Zoai:scielo:S1807-03022004000100003Revistahttps://www.scielo.br/j/cam/ONGhttps://old.scielo.br/oai/scielo-oai.php||sbmac@sbmac.org.br1807-03022238-3603opendoar:2004-11-26T00:00Computational & Applied Mathematics - Sociedade Brasileira de Matemática Aplicada e Computacional (SBMAC)false
dc.title.none.fl_str_mv A modification of the convergence conditions for Picard's iteration
title A modification of the convergence conditions for Picard's iteration
spellingShingle A modification of the convergence conditions for Picard's iteration
Ezquerro,J. A.
nonlinear equations in Banach spaces
Picard's iteration
semilocal convergence
title_short A modification of the convergence conditions for Picard's iteration
title_full A modification of the convergence conditions for Picard's iteration
title_fullStr A modification of the convergence conditions for Picard's iteration
title_full_unstemmed A modification of the convergence conditions for Picard's iteration
title_sort A modification of the convergence conditions for Picard's iteration
author Ezquerro,J. A.
author_facet Ezquerro,J. A.
Hernández,M. A.
author_role author
author2 Hernández,M. A.
author2_role author
dc.contributor.author.fl_str_mv Ezquerro,J. A.
Hernández,M. A.
dc.subject.por.fl_str_mv nonlinear equations in Banach spaces
Picard's iteration
semilocal convergence
topic nonlinear equations in Banach spaces
Picard's iteration
semilocal convergence
description The convergence of the method of successive approximations is usually studied by the fixed point theorem. An alternative to this theorem is given in this work, where a contraction mapping is not necessary. An application to nonlinear integral equations of Fredholm type and second kind is also presented.
publishDate 2004
dc.date.none.fl_str_mv 2004-01-01
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1807-03022004000100003
url http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1807-03022004000100003
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 10.1590/S0101-82052004000100003
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv text/html
dc.publisher.none.fl_str_mv Sociedade Brasileira de Matemática Aplicada e Computacional
publisher.none.fl_str_mv Sociedade Brasileira de Matemática Aplicada e Computacional
dc.source.none.fl_str_mv Computational & Applied Mathematics v.23 n.1 2004
reponame:Computational & Applied Mathematics
instname:Sociedade Brasileira de Matemática Aplicada e Computacional (SBMAC)
instacron:SBMAC
instname_str Sociedade Brasileira de Matemática Aplicada e Computacional (SBMAC)
instacron_str SBMAC
institution SBMAC
reponame_str Computational & Applied Mathematics
collection Computational & Applied Mathematics
repository.name.fl_str_mv Computational & Applied Mathematics - Sociedade Brasileira de Matemática Aplicada e Computacional (SBMAC)
repository.mail.fl_str_mv ||sbmac@sbmac.org.br
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