Local and Semi-local convergence for Chebyshev two point like methods with applications in different fields

Abstract

The convergence is developed for a large class of Chebyshev-two point-like methods for solving Banach space valued equations. Both the local as well as the semi-local convergence is provided for these methods under general conditions allowing the solution of nondifferentiable equations. Specializations of our methods improve earlier results. Numerical experiments display the superiority of our results.