Argyros, I.K.George, S.2026-02-052015Thai Journal of Mathematics, 2015, 13, 1, pp. 165-17616860209https://idr.nitk.ac.in/handle/123456789/26377We present a unified local convergence analysis for Jarratt-type methods in order to approximate a solution of a nonlinear equation in a Banach space setting. Our methods include the Jarratt;Inverse free Jarratt; super-Halley and other high order methods. The convergence ball and error estimates are given for these methods under the same conditions. Numerical examples are also provided in this study. © 2015 by the Mathematical Association of Thailand. All rights reserved.Banach spaceConvergence ballInexact Newton methodJarratt-type methodsLocal convergence