Abstract

We are concerned with the maximality of monotone operators representable by certain convex functions in non-reflexive Banach spaces. We also prove that these maximal monotone operators satisfy a Brøndsted-Rockafellar type property.

Author information

Contact details are reproduced from the original publication and may be historical.

Maicon Marques Alves

Instituto de Matemática Pura e Aplicada, Estrada Dona Castorina 110, Jardim Botânico, Rio de Janeiro, RJ 22460-320, Brazil

maicon@impa.br

Benar Fux Svaiter

Instituto de Matemática Pura e Aplicada, Estrada Dona Castorina 110, Jardim Botânico, Rio de Janeiro, RJ 22460-320, Brazil

benar@impa.br

Keywords

  • Convex function
  • maximal monotone operator
  • Brøndsted-Rockafellar property

Mathematics Subject Classification

47H05, 49J52, 47N10

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Suggested citation

M. Marques Alves, B. F. Svaiter. “Brøndsted-Rockafellar Property and Maximality of Monotone Operators Representable by Convex Functions in Non-Reflexive Banach Spaces.” Journal of Convex Analysis 15 (2008), No. 4, 693–706. https://doi.org/10.68381/jca15047

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Published by Heldermann Verlag, 2008. Rights now held by Banach Press LLC.