On Formulae for the Ioffe Geometric Subdifferential of a Supremum Function
Journal of convex analysis, Tome 27 (2020) no. 2, pp. 487-508
We study the first order variational behavior of the supremum of an arbitrary family of lower semicontinuous functions over a weakly compactly generated β-smooth Banach space. In this context, we present new upper-estimations for the viscosity subdifferential and the Ioffe geometric subdifferential.
Classification :
49J52, 49J53, 49Q10
Mots-clés : Supremum function, Ioffe geometric subdifferential, beta-smooth property, first order analysis, fuzzy calculus
Mots-clés : Supremum function, Ioffe geometric subdifferential, beta-smooth property, first order analysis, fuzzy calculus
@article{JCA_2020_27_2_JCA_2020_27_2_a4,
author = {P. P\'erez-Aros and D. Salas and E. Vilches},
title = {On {Formulae} for the {Ioffe} {Geometric} {Subdifferential} of a {Supremum} {Function}},
journal = {Journal of convex analysis},
pages = {487--508},
year = {2020},
volume = {27},
number = {2},
url = {http://geodesic.mathdoc.fr/item/JCA_2020_27_2_JCA_2020_27_2_a4/}
}
TY - JOUR AU - P. Pérez-Aros AU - D. Salas AU - E. Vilches TI - On Formulae for the Ioffe Geometric Subdifferential of a Supremum Function JO - Journal of convex analysis PY - 2020 SP - 487 EP - 508 VL - 27 IS - 2 UR - http://geodesic.mathdoc.fr/item/JCA_2020_27_2_JCA_2020_27_2_a4/ ID - JCA_2020_27_2_JCA_2020_27_2_a4 ER -
%0 Journal Article %A P. Pérez-Aros %A D. Salas %A E. Vilches %T On Formulae for the Ioffe Geometric Subdifferential of a Supremum Function %J Journal of convex analysis %D 2020 %P 487-508 %V 27 %N 2 %U http://geodesic.mathdoc.fr/item/JCA_2020_27_2_JCA_2020_27_2_a4/ %F JCA_2020_27_2_JCA_2020_27_2_a4
P. Pérez-Aros; D. Salas; E. Vilches. On Formulae for the Ioffe Geometric Subdifferential of a Supremum Function. Journal of convex analysis, Tome 27 (2020) no. 2, pp. 487-508. http://geodesic.mathdoc.fr/item/JCA_2020_27_2_JCA_2020_27_2_a4/