Geodesic
A New Proof of the Maximal Monotonicity of Subdifferentials
Journal of convex analysis, Tome 16 (2009) no. 1, pp. 165-168
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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. 
@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/}
}
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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/