Argyros I.K.George S.Sahu D.R.2021-05-052021-05-052020Applicationes Mathematicae Vol. 47 , 1 , p. 145 - 153https://doi.org/10.4064/AM2352-1-2018https://idr.nitk.ac.in/handle/123456789/15457We extend the applicability of Newton's method, so we can approximate a locally unique solution of a nonlinear equation in a Banach space setting in cases not covered before. To achieve this, we find a more precise set containing the Newton iterates than in earlier works. © Instytut Matematyczny PAN, 2020Article