On the convergence of the sixth order Homeier like method in Banach spaces

Document Type

Article

Publication Title

Results in Nonlinear Analysis

Abstract

A sixth order Homeier-like method is introduced for approximating a solution of the non-linear equation in Banach space. Assumptions only on first and second derivatives are used to obtain a sixth order convergence. Our proof does not depend on Taylor series expansions as in the earlier studies for the similar methods.

First Page

452

Last Page

458

DOI

10.53006/rna.1138201

Publication Date

12-31-2022

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