Argyros, I.K.George, S.Argyros, C.I.2026-02-042022Applicationes Mathematicae, 2022, 49, 2, pp. 197-20712337234https://doi.org/10.4064/am2433-7-2022https://idr.nitk.ac.in/handle/123456789/22733We extend and compare two three-step Jarratt-type methods for solving a nonlinear equation under the same conditions. Our convergence analysis is based on the first Fréchet derivative that only appears in the method. Numerical examples where the theoretical results are tested complete the paper. © Instytut Matematyczny PAN, 2022.Banach spacelocal convergenceNewton/Jarratt method