The Local Convergence of a Two-Step Combined Newton-Secant-Kurchatov Type Method under Two Different Continuity Conditions

In this paper, we explore a double-step method for solving nonlinear equations containing differentiable and non-differentiable operators. Our approach is based on a combination of three different methods. We have analyzed the local convergence of the suggested method, considering both Lipschitz and L-average conditions, and established the superquadratic ( ≈ 2.414 ) order of convergence. Finally, we have pictured numerical results that are compared with those obtained by using several existing methods.