Calmness Properties and Contingent Subgradients of Integral Functionals on Lebesgue Spaces L p , 1 ≼ p

Calmness Properties and Contingent Subgradients of Integral Functionals on Lebesgue Spaces L p , 1 ≼ p < ∞

Published:2009-07-15 Issue:3 Volume:17 Page:223-243
ISSN:1877-0533
Container-title:Set-Valued and Variational Analysis
language:en
Short-container-title:Set-Valued Anal

Author:

Giner Emmanuel

Publisher

Springer Science and Business Media LLC

Subject

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

Link

http://link.springer.com/content/pdf/10.1007/s11228-009-0116-1.pdf

Reference25 articles.

1. Aubin, J.-P., Ekeland, I.: Minimisation de critères intégraux. C. R. Acad. Sci. Paris Série A 281, 285–288 (1975)

2. Aubin, J.-P., Frankowska, H.: Set-Valued Analysis. Systems & Control: Foundations & Applications 2. Birkhauser, Boston (1990)

3. Benyamini, Y., Lindenstrauss, J.: Geometric Nonlinear Functional Analysis, vol. 48. Colloquium Publications. American Mathematical Society, Providence (2000)

4. Bourass, A.: Comparaison de fonctionnelles intégrales. Conditions de croissance caractéristiques et application à la semi continuité dans les espaces intégraux de type Orlicz. Thèse d’État, Perpignan (1983)

5. Bourass, A., Giner, E.: Kuhn-tucker conditions and integral functionals. J. Convex Anal. 8(2), 533–553 (2001)

Cited by 13 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Subdifferentiation of integral functionals;Mathematical Programming;2017-11-17

2. A generalization of Fatou’s lemma for extended real-valued functions on σ-finite measure spaces: with an application to infinite-horizon optimization in discrete time;Journal of Inequalities and Applications;2017-01-18

3. Fatou’s lemma and lower epi-limits of integral functionals;Journal of Mathematical Analysis and Applications;2012-10

4. Graded Subdifferentials, Ioffe Subdifferentials;Calculus Without Derivatives;2012-08-04

5. Limiting Subdifferentials;Calculus Without Derivatives;2012-08-04