Uniform prox-regularity of functions and epigraphs in Hilbert spaces
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Publication:707212
DOI10.1016/j.na.2004.04.015zbMath1068.49012OpenAlexW2048303135MaRDI QIDQ707212
Frédéric Bernard, Lionel Thibault
Publication date: 9 February 2005
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.2004.04.015
Nonconvex programming, global optimization (90C26) Nonsmooth analysis (49J52) Differentiation theory (Gateaux, Fréchet, etc.) on manifolds (58C20) Set-valued and function-space-valued mappings on manifolds (58C06) Calculus of functions on infinite-dimensional spaces (26E15)
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Cites Work
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- Convex functions, monotone operators and differentiability
- Prox-regular functions in Hilbert spaces
- Integration of subdifferentials of lower semicontinuous functions on Banach spaces
- Strong and Weak Convexity of Sets and Functions
- Curvature Measures
- Integration of subdifferentials of nonconvex functions
- Characterization of Lower Semicontinuous Convex Functions
- Sub differential Monotonicity as Characterization of Convex Functions
- Variational Analysis
- Local differentiability of distance functions
- Partial Extensions of Attouch's Theorem with Applications to Proto- Derivatives of Subgradient Mappings
- Nonsmooth sequential analysis in Asplund spaces
- Prox-regular functions in variational analysis
- Proximal Analysis and Approximate Subdifferentials