Journal of convex analysis, Tome 16 (2009) no. 1, pp. 165-168
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S. Simons. A New Proof of the Maximal Monotonicity of Subdifferentials. Journal of convex analysis, Tome 16 (2009) no. 1, pp. 165-168. http://geodesic.mathdoc.fr/item/JCA_2009_16_1_JCA_2009_16_1_a7/
@article{JCA_2009_16_1_JCA_2009_16_1_a7,
author = {S. Simons},
title = {A {New} {Proof} of the {Maximal} {Monotonicity} of {Subdifferentials}},
journal = {Journal of convex analysis},
pages = {165--168},
year = {2009},
volume = {16},
number = {1},
url = {http://geodesic.mathdoc.fr/item/JCA_2009_16_1_JCA_2009_16_1_a7/}
}
TY - JOUR
AU - S. Simons
TI - A New Proof of the Maximal Monotonicity of Subdifferentials
JO - Journal of convex analysis
PY - 2009
SP - 165
EP - 168
VL - 16
IS - 1
UR - http://geodesic.mathdoc.fr/item/JCA_2009_16_1_JCA_2009_16_1_a7/
ID - JCA_2009_16_1_JCA_2009_16_1_a7
ER -
%0 Journal Article
%A S. Simons
%T A New Proof of the Maximal Monotonicity of Subdifferentials
%J Journal of convex analysis
%D 2009
%P 165-168
%V 16
%N 1
%U http://geodesic.mathdoc.fr/item/JCA_2009_16_1_JCA_2009_16_1_a7/
%F JCA_2009_16_1_JCA_2009_16_1_a7
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.
