Argyros, I.K.George, S.2026-02-052019Mathematical Communications, 2019, 24, 2, pp. 263-27613310623https://idr.nitk.ac.in/handle/123456789/24778We present the local convergence analysis of two-step iterative methods free of derivatives for solving equations and systems of equations under similar hypotheses based on Lipschitz-type conditions. The methods are in particular useful for solving equations or systems involving non-differentiable terms. A comparison is also provided using suitable numerical examples. © 2019 Department of Mathematics, University of Osijek.Divided differencesFréchet-derivativeLipschitz conditionsLocal convergenceRadius of convergenceTwo-step Kurchatov methodTwo-step secant method