Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

On the Influence of Center-Lipschitz Conditions in the Convergence Analysis of Multi-Point Iterative Methods

Version 1 : Received: 22 December 2018 / Approved: 24 December 2018 / Online: 24 December 2018 (12:37:26 CET)

How to cite: Argyros, I.K.; George, S. On the Influence of Center-Lipschitz Conditions in the Convergence Analysis of Multi-Point Iterative Methods. Preprints 2018, 2018120277. https://doi.org/10.20944/preprints201812.0277.v1 Argyros, I.K.; George, S. On the Influence of Center-Lipschitz Conditions in the Convergence Analysis of Multi-Point Iterative Methods. Preprints 2018, 2018120277. https://doi.org/10.20944/preprints201812.0277.v1

Abstract

The aim of this article is to extend the local as well as the semi-local convergence analysis of multi-point iterative methods using center Lipschitz conditions in combination with our idea, of the restricted convergence region. It turns out that this way a finer convergence analysis for these methods is obtained than in earlier works and without additional hypotheses. Numerical examples favoring our technique over earlier ones completes this article.

Keywords

Multi-point iterative methods; Banach space; local-semi-local convergence analysis.

Subject

Computer Science and Mathematics, Analysis

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