Critical values of set-valued maps with stratifiable graphs. Extensions of Sard and Smale-Sard theorems
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Publication:3522308
DOI10.1090/S0002-9939-08-09101-6zbMath1191.49015OpenAlexW1967744828MaRDI QIDQ3522308
Publication date: 1 September 2008
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/s0002-9939-08-09101-6
Set-valued and variational analysis (49J53) Critical points of functions and mappings on manifolds (58K05)
Related Items (12)
Sard theorems for Lipschitz functions and applications in optimization ⋮ Sweeping by a tame process ⋮ Stochastic Methods for Composite and Weakly Convex Optimization Problems ⋮ Semi-algebraic functions have small subdifferentials ⋮ Transversality in variational analysis ⋮ The Morse-Sard theorem for Clarke critical values ⋮ Transversality and alternating projections for nonconvex sets ⋮ Some results concerning the generic continuity of set-valued mappings ⋮ METRIC REGULARITY—A SURVEY PART II. APPLICATIONS ⋮ Generic Minimizing Behavior in Semialgebraic Optimization ⋮ Stochastic subgradient method converges on tame functions ⋮ Clarke Subgradients for Directionally Lipschitzian Stratifiable Functions
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- DIRECTIONAL COMPACTNESS, SCALARIZATION AND NONSMOOTH SEMI-FREDHOLM MAPPINGS
- Variational Analysis
- Metric regularity and subdifferential calculus
- Active Sets, Nonsmoothness, and Sensitivity
- An Infinite Dimensional Version of Sard's Theorem
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