Convergence Analysis of a Three Step Newton-like Method for Nonlinear Equations in Banach Space under Weak Conditions

Ioannis K. Argyros; Santhosh George

doi:10.1515/awutm-2016-0013

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Convergence Analysis of a Three Step Newton-like Method for Nonlinear Equations in Banach Space under Weak Conditions

Annals of West University of Timisoara - Mathematics and Computer Science

Volume 54 (2016): Issue 2 (December 2016)

By: Ioannis K. Argyros and Santhosh George

Open Access

|Dec 2016

Abstract

In the present paper, we study the local convergence analysis of a fifth convergence order method considered by Sharma and Guha in [15] to solve equations in Banach space. Using our idea of restricted convergence domains we extend the applicability of this method. Numerical examples where earlier results cannot apply to solve equations but our results can apply are also given in this study.

References

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Articles in this issue

DOI: https://doi.org/10.1515/awutm-2016-0013 | Journal eISSN: 1841-3307 | Journal ISSN: 1841-3293

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Language: English

Page range: 37 - 46

Submitted on: Oct 16, 2016

Accepted on: Feb 12, 2016

Published on: Dec 30, 2016

Published by: West University of Timisoara

In partnership with: Paradigm Publishing Services

Publication frequency: Volume open

Keywords:

Newton-type method,

radius of convergence,

local convergence,

restricted convergence domains.

Related subjects:

Mathematics,

General mathematics

© 2016 Ioannis K. Argyros, Santhosh George, published by West University of Timisoara
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Volume 54 (2016): Issue 2 (December 2016)