Argyros, I.K.George, S.2026-02-052015Asian-European Journal of Mathematics, 2015, 8, 4, pp. -17935571https://doi.org/10.1142/S1793557115500655https://idr.nitk.ac.in/handle/123456789/26182We present a local convergence analysis of a sixth-order Jarratt-type method in order to approximate a solution of a nonlinear equation in a Banach space. Our sufficient convergence conditions involve only hypotheses on the first Fréchet-derivative of the operator involved. Earlier studies such as [X. Wang, J. Kou and C. Gu, Semilocal convergence of a sixth-order Jarratt method in Banach spaces, Numer. Algorithms 57 (2011) 441-456.] require hypotheses up to the third Fréchet-derivative. Numerical examples are also provided in this study. © 2015 World Scientific Publishing Company.Banach spaceFréchet-derivativeJarratt-type methodslocal convergence