Newton-Kantorovich and Smale uniform type convergence theorem for a deformed Newton method in Banach spaces (Q2319262)

Summary: Newton-Kantorovich and Smale uniform type of convergence theorem of a deformed Newton method having the third-order convergence is established in a Banach space for solving nonlinear equations. The error estimate is determined to demonstrate the efficiency of our approach. The obtained results are illustrated with three examples.