Abstract

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

Author information

Contact details are reproduced from the original publication and may be historical.

Stephen Simons

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

simons@math.ucsb.edu

Suggested citation

S. Simons. “A New Proof of the Maximal Monotonicity of Subdifferentials.” Journal of Convex Analysis 16 (2009), No. 1, 165–168. https://doi.org/10.68381/jca16008

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Published by Heldermann Verlag, 2009. Rights now held by Banach Press.