Regmi, S.Argyros, I.K.George, S.Argyros, C.I.2026-02-042022Advances in the Theory of Nonlinear Analysis and its Applications, 2022, 6, 3, pp. 310-31725872648https://doi.org/10.31197/atnaa.1056652https://idr.nitk.ac.in/handle/123456789/22754In this paper we compare the radius of convergence of two sixth convergence order methods for solving nonlinear equation. We present the local convergence analysis not given before, which is based on the first Frechet derivative that only appears on the method. Numerical examples where the theoretical results are tested complete the paper. © 2022, DergiPark. All rights reserved.Banach SpaceLocal/semi-local ConvergenceNewton/Chebyshev method