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On the convergence of maximal monotone operators
Authors:Jean-Paul Penot   Constantin Zalinescu
Affiliation:Laboratoire de Mathématiques Appliquées, ERS CNRS 2055, Faculté des Sciences, av. de l'Université, 64000 Pau, France ; Faculty of Mathematics, University ``Al. I. Cuza' Iasi, Bd. Carol I, Nr. 11, 700506 Iasi, Romania
Abstract:
We study the convergence of maximal monotone operators with the help of representations by convex functions. In particular, we prove the convergence of a sequence of sums of maximal monotone operators under a general qualification condition of the Attouch-Brezis type.

Keywords:Bounded convergence   convergence   convex function   maximal monotone operator   monotone operator   qualification condition
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