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 Brönsted-Rockafellar's theorem and Fenchel duality formula.

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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

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.