Preprint Article Version 1 This version is not peer-reviewed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 (doi: 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 (doi: 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.

Subject Areas

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

Comments (0)

We encourage comments and feedback from a broad range of readers. See criteria for comments and our diversity statement.

Leave a public comment
Send a private comment to the author(s)
Views 0
Downloads 0
Comments 0
Metrics 0


×
Alerts
Notify me about updates to this article or when a peer-reviewed version is published.