Kurchatov-type methods for non-differentiable Hammerstein-type integral equations

Abstract We consider a generic type of nonlinear Hammerstein-type integral equations with the particularity having non-differentiable kernel Nemystkii type. So, in order to solve it we uniparametric family iterative processes derivative free, main advantage that for special value involved parameter method obtained coincides Newton’s method, is due fact evaluating divided difference operator when two values are same. perform qualitative convergence study by choosing an auxiliary point, allow us obtain existence and separation solutions given equation, is, local semilocal balls can be obtained.