Using decomposition of the nonlinear operator for solving non‐differentiable problems

Starting from the decomposition method for operators, we consider Newton-like iterative processes approximating solutions of nonlinear operators in Banach spaces. These maintain quadratic convergence Newton's method. Since operator has its highest degree application non-differentiable situations, construct Newton-type methods using symmetric divided differences, which allow us to improve accessibility methods. Experimentally, by studying basins attraction these methods, observe an improvement derivative-free that are normally used such as classic Steffensen's In addition, study both local and semilocal considered