On a sixth-order Jarratt-type method in Banach spaces
| dc.contributor.author | Argyros, I.K. | |
| dc.contributor.author | George, S. | |
| dc.date.accessioned | 2026-02-05T09:33:31Z | |
| dc.date.issued | 2015 | |
| dc.description.abstract | We present a local convergence analysis of a sixth-order Jarratt-type method in order to approximate a solution of a nonlinear equation in a Banach space. Our sufficient convergence conditions involve only hypotheses on the first Fréchet-derivative of the operator involved. Earlier studies such as [X. Wang, J. Kou and C. Gu, Semilocal convergence of a sixth-order Jarratt method in Banach spaces, Numer. Algorithms 57 (2011) 441-456.] require hypotheses up to the third Fréchet-derivative. Numerical examples are also provided in this study. © 2015 World Scientific Publishing Company. | |
| dc.identifier.citation | Asian-European Journal of Mathematics, 2015, 8, 4, pp. - | |
| dc.identifier.issn | 17935571 | |
| dc.identifier.uri | https://doi.org/10.1142/S1793557115500655 | |
| dc.identifier.uri | https://idr.nitk.ac.in/handle/123456789/26182 | |
| dc.publisher | World Scientific | |
| dc.subject | Banach space | |
| dc.subject | Fréchet-derivative | |
| dc.subject | Jarratt-type methods | |
| dc.subject | local convergence | |
| dc.title | On a sixth-order Jarratt-type method in Banach spaces |