The \(\theta \)-exterior sphere condition, \(\varphi \)-convexity, and local semiconcavity

DOI10.1016/J.NA.2010.04.001zbMath1197.49012OpenAlexW2000838827MaRDI QIDQ975857

Chadi Nour, Ronald J. Stern, Jean Takche

Publication date: 11 June 2010

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.2010.04.001

zbMATH Keywords

nonsmooth analysisproximal analysiswedgedness\(\psi \)-semiconcavity\(\theta \)-exterior sphere condition\(\varphi \)-convexity

Mathematics Subject Classification ID

Nonsmooth analysis (49J52) Fréchet and Gateaux differentiability in optimization (49J50) Methods involving semicontinuity and convergence; relaxation (49J45)

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• Semiconcave functions, Hamilton-Jacobi equations, and optimal control
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• On p-convex sets and geodesics
• Semiconcavity of the value function for exit time problems with nonsmooth target
• Convexity properties of the minimum time function
• Curvature Measures
• Interior sphere property of attainable sets and time optimal control problems
• Some New Regularity Properties for the Minimal Time Function
• Clarke's tangent cones and the boundaries of closed sets in Rn
• State Constrained Feedback Stabilization
• Local differentiability of distance functions
• Prox-regular functions in variational analysis

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