Argyros, I.K.George, S.Sahu, D.R.2026-02-052020Applicationes Mathematicae, 2020, 47, 1, pp. 145-15312337234https://doi.org/10.4064/AM2352-1-2018https://idr.nitk.ac.in/handle/123456789/24136We 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, 2020Majorant functionNewton's methodRestricted convergence domainSemilocal convergence