Clarke's tangent vectors as tangents to Lipschitz continuous curves

DOI10.1007/BF00939984zbMath0535.90073OpenAlexW1969325112MaRDI QIDQ791446

G. G. Watkins

Publication date: 1985

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00939984

zbMATH Keywords

contingent conetentstrict differentiabilityClarke tangent vectorLipschitz continuous maps

Mathematics Subject Classification ID

Convex programming (90C25) Differentiation theory (Gateaux, Fréchet, etc.) on manifolds (58C20) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20) Polytopes and polyhedra (52Bxx)

Related Items (1)

Characterization of the Clarke regularity of subanalytic sets

Cites Work

• Unnamed Item
• Clarke's tangent cones and the boundaries of closed sets in Rn
• Generalized Directional Derivatives and Subgradients of Nonconvex Functions
• A characterization of tangential regularity
• Generalized Gradients and Applications
• THE METHOD OF TENTS IN THE THEORY OF EXTREMAL PROBLEMS
• On optimality conditions in nondifferentiable programming
• Tangent Cones, Generalized Gradients and Mathematical Programming in Banach Spaces
• Directionally Lipschitzian Functions and Subdifferential Calculus

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