Une méthode du point milieu de Newton pour les équations généralisées
Résumé
The midpoint method was previously used in the solving of equations and in this work, the aim is to adapt the theory to the set-valued analysis in order to approach solutions of generalized equations of the form 0_inf(x)+F(x). In particular, we show the existence and convergence fo sequences provided the second order derivative of the function f satisfies a Hölder condition, or a center-Hölder condition.