Argyros, I.K.George, S.2026-02-052015Novi Sad Journal of Mathematics, 2015, 45, 2, pp. 47-5814505444https://doi.org/10.30755/nsjom.2014.018https://idr.nitk.ac.in/handle/123456789/26354We present a local convergence analysis of a Modified Halley-Like Method of high convergence order in order to approximate a solution of a nonlinear equation in a Banach space. Our sufficient convergence conditions involve only hypotheses on the first Frèchet-derivative of the operator involved. Earlier studies use hypotheses up to the third Frèchet-derivative [26]. Numerical examples are also provided in this study. © 2015, Institute of Mathematics. All rights reserved.Banach spaceFrèchet-derivativeJarratt-type methodsLocal convergence