Please use this identifier to cite or link to this item: https://idr.l3.nitk.ac.in/jspui/handle/123456789/16716
Title: Unified ball convergence of third and fourth convergence order algorithms under ω−continuity conditions
Authors: Argyros G.
Argyros M.
Argyros I.K.
George S.
Issue Date: 2021
Citation: Journal of Mathematical Modeling Vol. 9 , 2 , p. 173 - 183
Abstract: There is a plethora of third and fourth convergence order algorithms for solving Banach space valued equations. These orders are shown under conditions on higher than one derivatives not appearing on these algorithms. Moreover, error estimations on the distances involved or uniqueness of the solution results if given at all are also based on the existence of high order derivatives. But these problems limit the applicability of the algorithms. That is why we address all these problems under conditions only on the first derivative that appear in these algorithms. Our analysis includes computable error estimations as well as uniqueness results based on ω− continuity conditions on the Fréchet derivative of the operator involved. © 2021 University of Guilan.
URI: https://doi.org/10.22124/jmm.2020.17556.1513
http://idr.nitk.ac.in/jspui/handle/123456789/16716
Appears in Collections:1. Journal Articles

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.