Representable Monotone Operators and Limits of Sequences of Maximal Monotone Operators - Archive ouverte HAL
Article Dans Une Revue Set-Valued Analysis Année : 2012

Representable Monotone Operators and Limits of Sequences of Maximal Monotone Operators

Résumé

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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Dates et versions

hal-00698802 , version 1 (17-05-2012)

Identifiants

  • HAL Id : hal-00698802 , version 1

Citer

Yboon García, Marc Lassonde. Representable Monotone Operators and Limits of Sequences of Maximal Monotone Operators. Set-Valued Analysis, 2012, 20 (1), pp.61-73. ⟨hal-00698802⟩
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