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Representable Monotone Operators and Limits of Sequences of Maximal Monotone Operators

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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.

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Authors and Affiliations

  1. IMCA and Facultad de Ciencias de la Universidad Nacional de Ingeniería, Lima, Peru

    Yboon García

  2. LAMIA, Université des Antilles et de la Guyane, 97159, Pointe à Pitre, France

    Marc Lassonde

Authors
  1. Yboon García
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  2. Marc Lassonde
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Correspondence to Marc Lassonde.

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García, Y., Lassonde, M. Representable Monotone Operators and Limits of Sequences of Maximal Monotone Operators. Set-Valued Anal 20, 61–73 (2012). https://doi.org/10.1007/s11228-011-0178-8

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  • DOI: https://doi.org/10.1007/s11228-011-0178-8

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