Ball convergence for Traub-Steffensen like methods in Banach space

We present a local convergence analysis for two Traub-Steffensen-like methods in order to approximate a locally unique solution of an equation in a Banach space setting. In earlier studies such as [16, 23] Taylor expansions and hypotheses up to the third Fréchet-derivative are used. We expand the ap...

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Bibliographic Details
Main Authors: Argyros Ioannis K., George Santhosh
Format: Article
Language:English
Published: Sciendo 2015-12-01
Series:Annals of the West University of Timisoara: Mathematics and Computer Science
Subjects:
Online Access:https://doi.org/10.1515/awutm-2015-0011