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

Argyros, I.K.George, S.2026-02-052017International Journal of Computing Science and Mathematics, 2017, 8, 6, pp. 495-50517525055https://doi.org/10.1504/IJCSM.2017.088975https://idr.nitk.ac.in/handle/123456789/25719This 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. © © 2017 Inderscience Enterprises Ltd.Banach spacesConvergence conditionsConvergence domainsLocal ConvergenceRadius of convergenceSolving nonlinear equationsType methodsNonlinear equationsLocal convergence of a fast Steffensen-type method on Banach space under weak conditions