Institute of Mathematics and Informatics Bulgarian Academy of Sciences
Abstract
∗ Cette recherche a été partiellement subventionnée, en ce qui concerne le premier et le dernier
auteur, par la bourse OTAN CRG 960360 et pour le second auteur par l’Action Intégrée 95/0849 entre
les universités de Marrakech, Rabat et Montpellier.The primary goal of this paper is to shed some light on the maximality
of the pointwise sum of two maximal monotone operators. The interesting purpose
is to extend some recent results of Attouch, Moudafi and Riahi on the graph-convergence
of maximal monotone operators to the more general setting of reflexive
Banach spaces. In addition, we present some conditions which imply the uniform
Brézis-Crandall-Pazy condition. Afterwards, we present, as a consequence, some
recent conditions which ensure the Mosco-epiconvergence of the sum of convex
proper lower semicontinuous functions
