Convergence Analysis For The King-Werner Method Under Gamma-Conditions

The purpose of this paper is to study a semilocal convergence result for the King-Werner iterative method in Banach space setting under a gamma-type condition. The convergence of the method is established under weaker conditions than those used in previous works; we only use hypotheses up to the second Fréchet derivative of the involved operator. In addition, we illustrate the applicability of our result with some numerical examples.