  In this paper we study Newton's method for solving generalized equations in
Banach spaces. We show that under strong regularity of the generalized
equation, the method is locally convergent to a solution with
superlinear/quadratic rate. The presented analysis is based on Banach
Perturbation Lemma for generalized equation and the classical Lipschitz
condition on the derivative is relaxed by using a general majorant function,
which enables obtaining the optimal convergence radius, uniqueness of solution
as well as unifies earlier results pertaining to Newton's method theory.
