Argyros, I.K.George, S.2026-02-082019Understanding Banach Spaces, 2019, Vol., , p. 147-15197815361674509781536167467https://doi.org/10.1007/s11665-024-10464-zhttps://idr.nitk.ac.in/handle/123456789/33838We provide an extended local convergence of Osada’s method for approximating a zero of a nonlinear equation with multiplicitym, where m is a natural number. The new technique provides a tighter convergence analysis under the same computational cost as in earlier works. This technique can be used on other iterative methods too. Numerical examples further validate the theoretical results. © 2020 by Nova Science Publishers, Inc. All rights reserved.DerivativeDivided differenceInexact methodRadius of convergenceZero with multiplicity