Argyros, I.K.George, S.2026-02-052020Applicationes Mathematicae, 2020, 47, 1, pp. 133-14412337234https://doi.org/10.4064/AM2350-2-2018https://idr.nitk.ac.in/handle/123456789/24137The aim of this paper is to extend the applicability of some high order iterative methods without using hypotheses on derivatives not appearing in those methods. Numerical examples are given where earlier convergence conditions are not satisfied but the new ones are satisfied. © Instytut Matematyczny PAN, 2020Banach spaceConvergence ballLocal convergenceMulti-point method