Abstract

We present a new proof for maximal monotonicity of subdifferential operators. This result was originally proved by R. T. Rockafellar [Pacific J. Math. 33 (1970) 209–216] where other fundamental results were also proved. The proof presented here is simpler and makes use of classical results from subdifferential calculus as Brøndsted-Rockafellar's theorem and Fenchel duality formula.

Author information

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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
  • subdifferential operator

Mathematics Subject Classification

47H05, 49J52, 47N10

References

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Suggested citation

M. Marques Alves, B. F. Svaiter. “A New Proof for Maximal Monotonicity of Subdifferential Operators.” Journal of Convex Analysis 15 (2008), No. 2, 345–348. https://doi.org/10.68381/jca15024

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