Extending the Applicability of the Super-Halley-Like Method Using ω-Continuous Derivatives and Restricted Convergence Domains

We present a local convergence analysis of the super-Halley-like method in order to approximate a locally unique solution of an equation in a Banach space setting. The convergence analysis in earlier studies was based on hypotheses reaching up to the third derivative of the operator. In the present...

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Bibliographic Details
Main Authors: Argyros Ioannis K., George Santhosh
Format: Article
Language:English
Published: Sciendo 2019-09-01
Series:Annales Mathematicae Silesianae
Subjects:
Online Access:http://www.degruyter.com/view/j/amsil.2019.33.issue-1/amsil-2018-0008/amsil-2018-0008.xml?format=INT