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Representable Monotone Operators and Limits of Sequences of Maximal Monotone Operators
Authors:Yboon García  Marc Lassonde
Institution:1. IMCA and Facultad de Ciencias de la Universidad Nacional de Ingenier??a, Lima, Peru
2. LAMIA, Universit?? des Antilles et de la Guyane, 97159, Pointe ?? Pitre, France
Abstract:We show that the lower limit of a sequence of maximal monotone operators on a reflexive Banach space is a representable monotone operator. As a consequence, we obtain that the variational sum of maximal monotone operators and the variational composition of a maximal monotone operator with a linear continuous operator are both representable monotone operators.
Keywords:
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