Author:
Correa Rafael,Hantoute Abderrahim,López Marco A.
Abstract
AbstractWe provide new characterizations of the $\varepsilon $
ε
-subdifferential of the supremum of an arbitrary family of convex functions. The resulting formulas only involve approximate subdifferentials of adequate convex combinations of the data functions. Families of convex functions with a concavity-like property are introduced and their relationship with affine models is studied. The role of the lower semi-continuity of the data functions is also analyzed.
Funder
Research Project from MICINN, Spain
MICIU of Spain and Universidad de Alicante
AICO of Generalitat Valenciana
Basal CMM
Australian ARC - Discovery Projects
Law Offices of Anidjar and Levine, P.A.
Universidad de Alicante
Publisher
Springer Science and Business Media LLC
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