Local convergence of a fast Steffensen-type method on Banach space under weak conditions

Abstract

This paper is devoted to the study of the seventh-order Steffensen-type methods for solving nonlinear equations in Banach spaces. Using the idea of a restricted convergence domain, we extended the applicability of the seventh-order Steffensen-type methods. Our convergence conditions are weaker than the conditions used in the earlier studies. Numerical examples are also given in this study. Copyright 2017 Inderscience Enterprises Ltd.