On the qualitative approximation of Lipschitzian functions.

DOI10.1016/j.na.2003.09.017zbMath1037.49013OpenAlexW1988218813MaRDI QIDQ1427923

D. Massart

Publication date: 14 March 2004

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2003.09.017

zbMATH Keywords

critical pointcontinuous selectiontangent conetopological equivalencenonsmooth functionconstraint setBouligand derivative

Mathematics Subject Classification ID

Nonsmooth analysis (49J52) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Approximation by other special function classes (41A30)

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Optimality conditions for a nonconvex set-valued optimization problem ⋮ Local topological equivalence of nonsmooth functions in Hilbert spaces ⋮ Set-relations and optimality conditions in set-valued maps

Cites Work

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• Morse theory for some lower-\(C^ 2\) functions in finite dimension
• Structural analysis of nonsmooth mappings, inverse functions, and metric projections
• Nonlinear optimization in finite dimensions. Morse theory, Chebyshev approximation, transversality, flows, parametric aspects
• Piecewise Ck functions in nonsmooth analysis
• On the Regularity of the Kuhn–Tucker Curve
• Nonsmooth Calculus in Finite Dimensions
• On linearization and continuous selections of functions
• Generalized Directional Derivatives and Subgradients of Nonconvex Functions
• Continuous selections of linear functions and nonsmooth critical point theory
• Qualitative aspects of the local approximation of a piecewise differentiable function