Proximal and Fréchet normal formulae for some small normal cones in Hilbert space

DOI10.1016/0362-546X(92)90096-WzbMath0786.49011OpenAlexW1994193574MaRDI QIDQ4032203

Alejandro Jofre, Lionel Thibault

Publication date: 1 April 1993

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0362-546x(92)90096-w

zbMATH Keywords

Hilbert spacereal Banach spacepolar\(B\)-tangent cone

Mathematics Subject Classification ID

Nonsmooth analysis (49J52) Programming in abstract spaces (90C48)

Related Items

Nonconvex second-order differential inclusions with memory

Cites Work

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• Approximate Subdifferentials and Applications. I: The Finite Dimensional Theory
• Characterization of Clarke's tangent and normal cones in finite and infinite dimensions
• Proximal Analysis and Boundaries of Closed Sets in Banach Space, Part I: Theory
• The drop theorem, the petal theorem and Ekeland's variational principle
• Proximal Analysis and Boundaries of Closed Sets in Banach Space. Part II: Applications
• The Proximal Normal Formula in Banach Space
• Clarke's Gradients and Epsilon-Subgradients in Banach Spaces
• The proximal normal formula in Hilbert space
• Shrinking generalized gradients
• A characterization of tangential regularity
• Proximal Subgradients, Marginal Values, and Augmented Lagrangians in Nonconvex Optimization
• Generalized Gradients and Applications