Résolution d'inégalités variationnelles par les méthodes du point proximal et du point fixe

Abstract

In this thesis, we propose methods for solving variational inequalities (singlevalued and multivalued) and equilibrium problem, by using the proximal point method and the banach contraction mapping fixed point principle. In fact we solve strongly monotone variational inequalities and equilibrium problem by the Banach contraction mapping fixed point principle, and then we combine this method with the proximal point method for solving monotone variational inequalities and equilibrium problem.

Date of Award	2006
Original language	French
Supervisor	Jean-Jacques STRODIOT (Supervisor), Van Hien Nguyen (Jury) & Geneviève Salmon (Jury)