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. Preprints2018, 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
Argyros, I. K.; George, S. On the Influence of Center-Lipschitz Conditions in the Convergence Analysis of Multi-Point Iterative Methods. Preprints2018, 2018120277. https://doi.org/10.20944/preprints201812.0277.v1
APA Style
Argyros, I. K., & George, S. (2018). On the Influence of Center-Lipschitz Conditions in the Convergence Analysis of Multi-Point Iterative Methods. Preprints. https://doi.org/10.20944/preprints201812.0277.v1
Chicago/Turabian Style
Argyros, I. K. and Santhosh George. 2018 "On the Influence of Center-Lipschitz Conditions in the Convergence Analysis of Multi-Point Iterative Methods" Preprints. 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.
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.