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References (12)
-
R Correa, A Hantoute (2010)
New formulas for the Fenchel subdifferential of the conjugate functionSet-Valued Var. Anal., 18
-
RT Rockafellar (1970)
On the maximal monotonicity of subdifferential mappingsPac. J. Math., 33
-
JM Borwein (1982)
A note on $$\varepsilon $$ ε -subgradients and maximal monotonicityPacif. J. Math., 103
-
J Benoist, A Daniilidis (2002)
Integration of Fenchel subdifferentials of epi-pointed functionsSIAM J. Optim., 12
-
J-B Hiriart-Urruty, RR Phelps (1993)
Subdifferential calculus using $$\epsilon $$ ϵ -subdifferentialsJ. Funct. Anal., 118
-
R Correa, A Hantoute (2012)
Subdifferential of the conjugate function in general Banach spacesTop, 20
-
R Correa, A Hantoute, P Pérez-Aros (2016)
On the Klee–Saint Raymond’s characterization of convexitySIAM J. Optim., 26
-
Pierre-Jean Laurent (1972)
Approximation et optimisation -
R Correa, A Hantoute (2013)
Lower semicontinuous convex relaxation in optimizationSIAM J. Optim., 23
-
J Benoist, J-B Hiriart-Urruty (1996)
What is the subdifferential of the closed convex hull of a function?SIAM J. Math. Anal., 27
-
A Brøndsted, RT Rockafellar (1965)
On the subdifferentiability of convex functionsProc. Am. Math. Soc., 16
-
R Correa, Y García, A Hantoute (2012)
Integration formulas via the Fenchel subdifferential of nonconvex functionsNonlinear Anal., 75
- Publisher
- Springer Journals
- Copyright
- Copyright © 2017 by Springer-Verlag Berlin Heidelberg and Mathematical Optimization Society
- Subject
- Mathematics; Calculus of Variations and Optimal Control; Optimization; Mathematics of Computing; Numerical Analysis; Combinatorics; Theoretical, Mathematical and Computational Physics; Mathematical Methods in Physics
- ISSN
- 0025-5610
- eISSN
- 1436-4646
- DOI
- 10.1007/s10107-017-1110-2
- Publisher site
- See Article on Publisher Site
Abstract
In this work we give an extension of the Brøndsted–Rockafellar Theorem, and some of its important consequences, to proper convex lower-semicontinuous epi-pointed functions defined in locally convex spaces. We use a new approach based on a simple variational principle, which also allows recovering the classical results in a natural way.
Journal
Mathematical Programming – Springer Journals
Published: Feb 2, 2017