On the Convergence of King-Werner Iteration Method in Banach Space

Abstract

In this paper, a Kantorovitch-Ostrowski type convergence theorem and an error estimate of $\frac{\|f'(z_0)^{-1}f(x_{n+1})\|}{\|f'(z_0)^{-1}f(x_n)\|}$ using the information of higher derivatives at the center between initial points for King-Werner iteration method in Banach space are established.