On the local convergence of a midpoint method in banach spaces under a gamma-type condition

dc.creator	Argyros, Ioannis K.	es
dc.date	2025-04-15
dc.date.accessioned	2025-10-06T15:05:05Z
dc.date.available	2025-10-06T15:05:05Z
dc.identifier	https://www.revistaproyecciones.cl/index.php/proyecciones/article/view/1375
dc.identifier	10.4067/S0716-09172009000200005
dc.identifier.uri	https://revistaschilenas.uchile.cl/handle/2250/255508
dc.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.	es
dc.format	application/pdf
dc.language	spa
dc.publisher	Universidad Católica del Norte.	en
dc.relation	https://www.revistaproyecciones.cl/index.php/proyecciones/article/view/1375/1179
dc.rights	Copyright (c) 2009 Proyecciones. Journal of Mathematics	en
dc.rights	https://creativecommons.org/licenses/by/4.0	en
dc.source	Proyecciones (Antofagasta); Vol. 28 No. 2 (2009); 155-167	en
dc.source	Proyecciones. Revista de Matemática; Vol. 28 Núm. 2 (2009); 155-167	es
dc.source	0717-6279
dc.source	10.22199/issn.0717-6279-2009
dc.title	On the local convergence of a midpoint method in banach spaces under a gamma-type condition	es
dc.type	info:eu-repo/semantics/article
dc.type	info:eu-repo/semantics/publishedVersion