The use of metric graphical regularity in approximate subdifferential calculus rules in finite dimensions

DOI10.1080/02331939008843574zbMath0721.49018OpenAlexW2044841947MaRDI QIDQ5753100

Lionel Thibault, Abderrahim Jourani

Publication date: 1990

Published in: Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02331939008843574

zbMATH Keywords

approximate subdifferentialapproximate coderivativemetric graphical regularity

Mathematics Subject Classification ID

Nonsmooth analysis (49J52)

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Qualification conditions for multivalued functions in Banach spaces with applications to nonsmooth vector optimization problems ⋮ Metric regularity and subdifferential calculus in Banach spaces ⋮ A generalized karush-kuhn-tucki optimality condition without constraint qualification using tl approximate subdifferential ⋮ Error bounds revisited ⋮ First order approximations to nonsmooth mappings with application to metric regularity ⋮ On metric regularity of multifunctions ⋮ A chain rule for parabolic second-order epiderivatives ⋮ A general metric regularity in asplund banach spaces ⋮ The approximate subdifferential of composite functions

Cites Work

• Maximum principle in the problem of time optimal response with nonsmooth constraints
• Optimization and nonsmooth analysis
• Extensions of subgradient calculus with applications to optimization
• Nonsmooth Calculus in Finite Dimensions
• Proximal Subgradients, Marginal Values, and Augmented Lagrangians in Nonconvex Optimization