Extending the applicability of an Ulm-Newton-like method under generalized conditions in Banach space
| dc.contributor.author | Argyros, I.K. | |
| dc.contributor.author | George, S. | |
| dc.date.accessioned | 2026-02-05T09:29:05Z | |
| dc.date.issued | 2020 | |
| dc.description.abstract | The aim of this paper is to extend the applicability of an Ulm-Newton-like method for approximating a solution of a nonlinear equation in a Banach space setting. The sufficient local convergence conditions are weaker than those in the earlier works leading to a larger radius of convergence and more precise error estimations on the distances involved. Numerical examples are also provided. © 2020 A. Razmadze Mathematical Institute of Iv. Javakhishvili Tbilisi State University. All rights reserved. | |
| dc.identifier.citation | Transactions of A. Razmadze Mathematical Institute, 2020, 174, 1, pp. 15-22 | |
| dc.identifier.issn | 23468092 | |
| dc.identifier.uri | https://idr.nitk.ac.in/handle/123456789/24113 | |
| dc.publisher | A. Razmadze Mathematical Institute of Iv. Javakhishvili Tbilisi State University | |
| dc.subject | Banach space | |
| dc.subject | Local/semi-local convergence | |
| dc.subject | Ulm's method | |
| dc.title | Extending the applicability of an Ulm-Newton-like method under generalized conditions in Banach space |