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Title: Somme Ponctuelle D'operateurs Maximaux Monotones
Other Titles: Pointwise Sum of two Maximal Monotone Operators
Authors: Attouch, H.
Riahi, H.
Théra, M.
Keywords: Opérateur Maximal Monotone
Convergence Au Sens Des Graphes
Convergence Au Sens De Mosco
Condition De Brézis-crandall and Pazy
Issue Date: 1996
Publisher: Institute of Mathematics and Informatics Bulgarian Academy of Sciences
Citation: Serdica Mathematical Journal, Vol. 22, No 3, (1996), 267p-292p
Abstract: 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.
Description: ∗ 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.
ISSN: 1310-6600
Appears in Collections:Volume 22 Number 3

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