A New Proof for Maximal Monotonicity of Subdifferential Operators
Journal of convex analysis, Tome 15 (2008) no. 2, pp. 345-348
Voir la notice de l'article provenant de la source Heldermann Verlag
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.
Classification :
47H05, 49J52, 47N10
Mots-clés : Convex function, maximal monotone operator, subdifferential operator
Mots-clés : Convex function, maximal monotone operator, subdifferential operator
@article{JCA_2008_15_2_JCA_2008_15_2_a10,
author = {M. Marques Alves and B. F. Svaiter},
title = {A {New} {Proof} for {Maximal} {Monotonicity} of {Subdifferential} {Operators}},
journal = {Journal of convex analysis},
pages = {345--348},
publisher = {mathdoc},
volume = {15},
number = {2},
year = {2008},
url = {http://geodesic.mathdoc.fr/item/JCA_2008_15_2_JCA_2008_15_2_a10/}
}
TY - JOUR AU - M. Marques Alves AU - B. F. Svaiter TI - A New Proof for Maximal Monotonicity of Subdifferential Operators JO - Journal of convex analysis PY - 2008 SP - 345 EP - 348 VL - 15 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/JCA_2008_15_2_JCA_2008_15_2_a10/ ID - JCA_2008_15_2_JCA_2008_15_2_a10 ER -
M. Marques Alves; B. F. Svaiter. A New Proof for Maximal Monotonicity of Subdifferential Operators. Journal of convex analysis, Tome 15 (2008) no. 2, pp. 345-348. http://geodesic.mathdoc.fr/item/JCA_2008_15_2_JCA_2008_15_2_a10/