Abstract

We study some conditions which guarantee that a convex function represents a maximal monotone operator in non-reflexive Banach spaces.

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

  • Fitzpatrick function
  • maximal monotone operator
  • non-reflexive Banach spaces

Mathematics Subject Classification

47H05, 49J52, 47N10

Suggested citation

M. Marques Alves, B. F. Svaiter. “Maximal Monotonicity, Conjugation and the Duality Product in Non-Reflexive Banach Spaces.” Journal of Convex Analysis 17 (2010), No. 2, 553–563.

Copyright Heldermann Verlag 2010