On the local convergence of a two-step steffensen-type method for solving generalized equations

dc.creator	Argyros, Ioannis K.	es
dc.creator	Hilout, Saïd	es
dc.date	2017-04-06
dc.date.accessioned	2025-10-06T15:05:06Z
dc.date.available	2025-10-06T15:05:06Z
dc.identifier	https://www.revistaproyecciones.cl/index.php/proyecciones/article/view/1410
dc.identifier	10.4067/S0716-09172008000300007
dc.identifier.uri	https://revistaschilenas.uchile.cl/handle/2250/255535
dc.description	We use a two-step Steffensen-type method [1], [2], [4], [6], [13]-[16] to solve a generalized equation in a Banach space setting under Hölder-type conditions introduced by us in [2], [6] for nonlinear equations. Using some ideas given in [4], [6] for nonlinear equations, we provide a local convergence analysis with the following advantages over related [13]-[16]: finer error bounds on the distances involved, and a larger radius of convergence. An application is 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/1410/1206
dc.rights	Copyright (c) 2008 Proyecciones. Journal of Mathematics	en
dc.source	Proyecciones (Antofagasta); Vol. 27 No. 3 (2008); 319-330	en
dc.source	Proyecciones. Revista de Matemática; Vol. 27 Núm. 3 (2008); 319-330	es
dc.source	0717-6279
dc.source	10.22199/issn.0717-6279-2008
dc.title	On the local convergence of a two-step steffensen-type method for solving generalized equations	es
dc.type	info:eu-repo/semantics/article
dc.type	info:eu-repo/semantics/publishedVersion