Alternative Representations of the Normal Cone to the Domain of Supremum Functions and Subdifferential Calculus-Reference-Cited by-同舟云学术

Alternative Representations of the Normal Cone to the Domain of Supremum Functions and Subdifferential Calculus

Published:2021-04-26 Issue: Volume: Page:
ISSN:1877-0533
Container-title:Set-Valued and Variational Analysis
language:en
Short-container-title:Set-Valued Var. Anal

Author:

Correa R.,Hantoute A.,López M. A.

Funder

MICIU and Universidad de Alicante

Australian ARC

ANID

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Geometry and Topology,Numerical Analysis,Statistics and Probability,Analysis

Link

https://link.springer.com/content/pdf/10.1007/s11228-021-00583-3.pdf

Reference30 articles.

1. Brøndsted, A.: On the subdifferential of the supremum of two convex functions. Math. Scand. 31, 225–230 (1972)

2. Cabot, A., Thibault, L.: Sequential formulae for the normal cone to sublevel sets. Trans. Amer. Math. Soc. 366, 6591–6628 (2014)

3. Correa, R., Hantoute, A., López, M.A.: Weaker conditions for subdifferential calculus of convex functions. J. Funct. Anal. 271, 1177–1212 (2016)

4. Correa, R., Hantoute, A., López, M.A.: Valadier-like formulas for the supremum function II: the compactly indexed case. J. Convex Anal. 26, 299–324 (2019)

5. Correa, R., Hantoute, A., López, M.A.: Subdifferential of the supremum via compactification of the index set. Vietnam J. Math. 48, 569–588 (2020)

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