Please use this identifier to cite or link to this item:
Title: Extended convergence of king-werner-like methods without derivatives
Authors: Argyros I.K.
George S.
Issue Date: 2019
Citation: Understanding Banach Spaces , Vol. , , p. 125 - 135
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.
Appears in Collections:3. Book Chapters

Files in This Item:
There are no files associated with this item.

Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.