In this work we present a simplifyed proof of Kantorovichs Theorem on Newtons Method. This analysis uses a technique which has already been used for obtaining new extensions of this theorem.
We present a local convergence analysis of inexact Newton-like methods for solving nonlinear equations under majorant conditions. This analysis provides an estimate of the convergence radius and a clear relationship between the majorant function, whi
ch relaxes the Lipschitz continuity of the derivative, and the nonlinear operator under consideration. It also allow us to obtain some important special cases
