New metric properties for prox-regular sets

DOI10.1007/s10107-020-01525-xzbMath1479.49026OpenAlexW3000736586MaRDI QIDQ2230930

Lionel Thibault, Samir Adly, Florent Nacry

Publication date: 29 September 2021

Published in: Mathematical Programming. Series A. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10107-020-01525-x

Mathematics Subject Classification ID

Nonsmooth analysis (49J52) Set-valued and variational analysis (49J53) Special integral transforms (Legendre, Hilbert, etc.) (44A15) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65)

Related Items

Prox-regular sets and Legendre-Fenchel transform related to separation properties ⋮ Unnamed Item ⋮ Unnamed Item

Cites Work

• Convexity of Chebyshev sets
• On a problem of H. Berens
• On p-convex sets and geodesics
• Preservation of Prox-Regularity of Sets with Applications to Constrained Optimization
• Calculus Without Derivatives
• Strong and Weak Convexity of Sets and Functions
• Curvature Measures
• Existence and Differentiability of Metric Projections in Hilbert Spaces
• Variational Analysis
• Local differentiability of distance functions
• Prox-regularity approach to generalized equations and image projection
• Discontinuous sweeping process with prox-regular sets
• Strong and Weak Convexity of Closed Sets in a Hilbert Space
• Prox-regular functions in variational analysis
• Unilateral Variational Analysis in Banach Spaces
• Weakly convex and proximally smooth sets in Banach spaces
• Cebysev Sets in Hilbert Space
• Best approximation in inner product spaces
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