Extended convergence of king-werner-like methods without derivatives
| dc.contributor.author | Argyros, I.K. | |
| dc.contributor.author | George, S. | |
| dc.date.accessioned | 2026-02-08T16:50:28Z | |
| dc.date.issued | 2019 | |
| dc.description.abstract | We provide a semilocal as well as a local convergence analysis of some efficient King-Werner-likemethods of order 1+2 free of derivatives for Banach space valued operators. We use our new idea of the restricted convergence region to find a smaller subset than before containing the iterates. Consequently the resulting Lipschitz parameters are smaller than in earlier works. Hence, to a finer convergence analysis is obtained. The extensions involve no new constants, since the new ones specialize to the ones in previous works. Examples are used to test the convergence criteria. © 2020 by Nova Science Publishers, Inc. All rights reserved. | |
| dc.identifier.citation | Understanding Banach Spaces, 2019, Vol., , p. 125-135 | |
| dc.identifier.isbn | 9781536167450 | |
| dc.identifier.isbn | 9781536167467 | |
| dc.identifier.uri | https://doi.org/10.1007/s41060-024-00575-0 | |
| dc.identifier.uri | https://idr.nitk.ac.in/handle/123456789/33839 | |
| dc.publisher | Nova Science Publishers, Inc. | |
| dc.subject | Banach space | |
| dc.subject | Fréchet- derivative | |
| dc.subject | King’s method | |
| dc.subject | Semilocal and local convergence analysis | |
| dc.subject | Werner’s method | |
| dc.title | Extended convergence of king-werner-like methods without derivatives |