Geodesic
Broendsted-Rockafellar Property of Subdifferentials of Prox-Bounded Functions
Journal of convex analysis, Tome 22 (2015) no. 2, pp. 485-492
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We provide a new proof that the subdifferential of a proper lower semicontinuous convex function on a Banach space is maximal monotone by adapting the pattern commonly used in the Hilbert setting. We then extend the arguments to show more precisely that subdifferentials of proper lower semicontinuous prox-bounded functions possess the Broendsted-Rockafellar property.
Classification : 47H05, 49J52, 49J53
Mots-clés : Subdifferential, maximal monotonicity, convex function, prox-bounded function, Broendsted-Rockafellar property, variational principle 
@article{JCA_2015_22_2_JCA_2015_22_2_a7,
     author = {M. Lassonde},
     title = {Broendsted-Rockafellar {Property} of {Subdifferentials} of {Prox-Bounded} {Functions}},
     journal = {Journal of convex analysis},
     pages = {485--492},
     year = {2015},
     volume = {22},
     number = {2},
     url = {http://geodesic.mathdoc.fr/item/JCA_2015_22_2_JCA_2015_22_2_a7/}
}
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M. Lassonde. Broendsted-Rockafellar Property of Subdifferentials of Prox-Bounded Functions. Journal of convex analysis, Tome 22 (2015) no. 2, pp. 485-492. http://geodesic.mathdoc.fr/item/JCA_2015_22_2_JCA_2015_22_2_a7/