ON THE LOCAL CONVERGENCE OF A MIDPOINT METHOD IN BANACH SPACES UNDER A GAMMA-TYPE CONDITION

In this study we are concerned with the problem of approximating a locally unique solution of an operator equation in a Banach space setting using the midpoint method, introduced by us in [5], [6]. Here, we use gamma-type condition to provide a local convergence analysis. Our results compare favorab...

Description complète

Enregistré dans:

Détails bibliographiques
Auteur principal:	Argyros,Ioannis K
Langue:	English
Publié:	Universidad Católica del Norte, Departamento de Matemáticas 2009
Sujets:	Midpoint method Banach space Gamma-type condition radius of convergence local convergence Fréchet-derivative
Accès en ligne:	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172009000200005
Tags:	Ajouter un tag Pas de tags, Soyez le premier à ajouter un tag!

id	oai:scielo:S0716-09172009000200005
record_format	dspace
spelling	oai:scielo:S0716-091720090002000052014-08-12ON THE LOCAL CONVERGENCE OF A MIDPOINT METHOD IN BANACH SPACES UNDER A GAMMA-TYPE CONDITIONArgyros,Ioannis K Midpoint method Banach space Gamma-type condition radius of convergence local convergence Fréchet-derivative In this study we are concerned with the problem of approximating a locally unique solution of an operator equation in a Banach space setting using the midpoint method, introduced by us in [5], [6]. Here, we use gamma-type condition to provide a local convergence analysis. Our results compare favorably with the relevant ones in [9], [11], [12]-[14]- In particular our radius of convergence is larger. Numerical examples are also provided.info:eu-repo/semantics/openAccessUniversidad Católica del Norte, Departamento de MatemáticasProyecciones (Antofagasta) v.28 n.2 20092009-08-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172009000200005en10.4067/S0716-09172009000200005
institution	Scielo Chile
collection	Scielo Chile
language	English
topic	Midpoint method Banach space Gamma-type condition radius of convergence local convergence Fréchet-derivative
spellingShingle	Midpoint method Banach space Gamma-type condition radius of convergence local convergence Fréchet-derivative Argyros,Ioannis K ON THE LOCAL CONVERGENCE OF A MIDPOINT METHOD IN BANACH SPACES UNDER A GAMMA-TYPE CONDITION
description	In this study we are concerned with the problem of approximating a locally unique solution of an operator equation in a Banach space setting using the midpoint method, introduced by us in [5], [6]. Here, we use gamma-type condition to provide a local convergence analysis. Our results compare favorably with the relevant ones in [9], [11], [12]-[14]- In particular our radius of convergence is larger. Numerical examples are also provided.
author	Argyros,Ioannis K
author_facet	Argyros,Ioannis K
author_sort	Argyros,Ioannis K
title	ON THE LOCAL CONVERGENCE OF A MIDPOINT METHOD IN BANACH SPACES UNDER A GAMMA-TYPE CONDITION
title_short	ON THE LOCAL CONVERGENCE OF A MIDPOINT METHOD IN BANACH SPACES UNDER A GAMMA-TYPE CONDITION
title_full	ON THE LOCAL CONVERGENCE OF A MIDPOINT METHOD IN BANACH SPACES UNDER A GAMMA-TYPE CONDITION
title_fullStr	ON THE LOCAL CONVERGENCE OF A MIDPOINT METHOD IN BANACH SPACES UNDER A GAMMA-TYPE CONDITION
title_full_unstemmed	ON THE LOCAL CONVERGENCE OF A MIDPOINT METHOD IN BANACH SPACES UNDER A GAMMA-TYPE CONDITION
title_sort	on the local convergence of a midpoint method in banach spaces under a gamma-type condition
publisher	Universidad Católica del Norte, Departamento de Matemáticas
publishDate	2009
url	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172009000200005
work_keys_str_mv	AT argyrosioannisk onthelocalconvergenceofamidpointmethodinbanachspacesunderagammatypecondition
_version_	1718439763868909568

ON THE LOCAL CONVERGENCE OF A MIDPOINT METHOD IN BANACH SPACES UNDER A GAMMA-TYPE CONDITION

Documents similaires