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Journal of Convex Analysis 16 (2009), No. 1, 165--168
Copyright Heldermann Verlag 2009

A New Proof of the Maximal Monotonicity of Subdifferentials

Stephen Simons
Dept. of Mathematics, University of California, Santa Barbara, CA 93106-3080, U.S.A.

We give a new proof based on the recent very elegant argument of M. Marques Alves and B. F. Svaiter [J. Convex Analysis 15 (2008) 345--348] that the subdifferential of a proper, convex lower semicontinuous function on a real Banach space is maximally monotone. We also show how the argument can be simplified in the reflexive case.

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