Argyros, I.K.George, S.Magreñán Ruiz, Á.A.2026-02-052015Journal of Computational and Applied Mathematics, 2015, 282, , pp. 215-2243770427https://doi.org/10.1016/j.cam.2014.12.023https://idr.nitk.ac.in/handle/123456789/26415We present a local convergence analysis for general multi-point-Chebyshev-Halley-type methods (MMCHTM) of high convergence order in order to approximate a solution of an equation in a Banach space setting. MMCHTM includes earlier methods given by others as special cases. The convergence ball for a class of MMCHTM methods is obtained under weaker hypotheses than before. Numerical examples are also presented in this study. © 2014 Elsevier B.V. All rights reserved.Banach spacesNewton-Raphson methodChebyshevLocal ConvergenceMulti-pointsParametric methodRadius of convergenceConvergence of numerical methods