Journal of Convex Analysis 15 (2008), No. 2, 345--348
Copyright Heldermann Verlag 2008
A New Proof for Maximal Monotonicity of Subdifferential Operators
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
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.
Keywords: Convex function, maximal monotone operator, subdifferential operator.
MSC: 47H05, 49J52, 47N10
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