| dc.creator | Argyros, Ioannis K. | es |
| dc.creator | Hilout, Saïd | es |
| dc.date | 2017-05-02 | |
| dc.date.accessioned | 2026-09-25T13:07:09Z | |
| dc.date.available | 2026-09-25T13:07:09Z | |
| dc.identifier | https://www.revistaproyecciones.cl/index.php/proyecciones/article/view/1524 | |
| dc.identifier | 10.4067/S0716-09172008000100001 | |
| dc.identifier.uri | https://revistaschilenas.uchile.cl/handle/2250/256467 | |
| dc.description | We provide a local convergence analysis for a Newton-type method to approximate a locally unique solution of an operator equation in Banach spaces. The local convergence of this method was studied in the elegant work by Werner in [11], using information on the domain of the operator. Here, we use information only at a point and a gamma-type condition [4], [10]. It turns out that our radius of convergence is larger, and more general than the corresponding one in [10]. More over the same can hold true when our radius is compared with the ones given in [9] and [11]. A numerical example 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/1524/2028 | |
| dc.rights | Copyright (c) 2008 Proyecciones. Journal of Mathematics | en |
| dc.rights | https://creativecommons.org/licenses/by/4.0 | en |
| dc.source | Proyecciones (Antofagasta); Vol. 27 No. 1 (2008); 1-14 | en |
| dc.source | Proyecciones. Revista de Matemática; Vol. 27 Núm. 1 (2008); 1-14 | es |
| dc.source | 0717-6279 | |
| dc.source | 10.22199/issn.0717-6279-2008 | |
| dc.title | On the local convergence of a Newton-type method in Banach spaces under a gamma—type condition | es |
| dc.type | info:eu-repo/semantics/article | |
| dc.type | info:eu-repo/semantics/publishedVersion | |
