Prépublication AOC numéro 04-04

An iterative method for perturbed generalized equations.
GEOFFROY, Michel H. - Laboratoire A.O.C., Université des Antilles et de la Guyane, Pointe-à-Pitre, F-97159 cedex
PIETRUS, Alain - Laboratoire A.O.C., Université des Antilles et de la Guyane, Pointe-à-Pitre, F-97159 cedex

Following the work of Dontchev, we show the linear convergence of an iterative procedure for solving perturbed generalized equations of the form 0 Î f(x)+g(x)+F(x), (*) where f is a differentiable function on a neighborhood of a solution of (*) while g, the perturbation function, is Lipschitzian on this neighborhood and G stands for a closed set-valued mapping, all of them acting in Banach spaces.