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arxiv: 1101.5574 · v1 · pith:BHYTWQSGnew · submitted 2011-01-28 · 🧮 math.OC

Limits of sequences of maximal monotone operators

classification 🧮 math.OC
keywords monotonemaximaloperatorsoperatorrepresentablevariationalbanachcomposition
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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.

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