WSEAS Transactions on Mathematics
Print ISSN: 1109-2769, E-ISSN: 2224-2880
Volume 16, 2017
Extended and Unified Local Convergence for Newton-Kantorovich Method Under w-Conditions with Applications
Authors: Ioannis K. Argyros, Santhosh George
Abstract: The goal of this paper is to present a local convergence analysis of Newton’s method for approximating a locally unique solution of an equation in a Banach space setting. Using the gauge function theory and our new idea of restricted convergence regions we present an extended and unified convergence theory.