Éditeur(s) : HAL CCSDAcademic Publishing Ltd Résumé : International audience An approximate procedure for solving the problem of nding a zero of a maximal monotone operator is proposed and its convergence is established under various conditions. More precisely, it is shown that this method weakly converges under natural assumptions and strongly converges provided that either the inverse of the involved operator is Lipschitz continuous around zero or the interior of the solution set is nonempty. A particular attention is given to the convex minimization case. AMS Subject Classication : Primary, 90C ; Secondary, 49M45, 65C. ISSN: 1311-8080
Éditeur(s) : HAL CCSDTaylor & Francis Résumé : International audience Recently Auslender & Crouzeix introduced a well-behaved asymptotical notion for convex functions. The aim of this work is to extend this notion to the saddle case ISSN: 0163-0563
Éditeur(s) : HAL CCSDElsevier Résumé : International audience Relying on prox-regularity we suggest and analyze a class of iterative schemes for solving nonconvex variational inequalities, our result can be considered as an improvement and a significant extension of previously known results in this field. ISSN: 0096-3003