On Formulae for the Ioffe Geometric Subdifferential of a Supremum Function
Journal of convex analysis, Tome 27 (2020) no. 2, pp. 487-508
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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
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     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/}
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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/