On generalised convex nonsmooth functions

DOI10.1017/S000497270001618XzbMath0811.90096OpenAlexW4236929230MaRDI QIDQ4291006

Dinh The Luc

Publication date: 1 May 1995

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s000497270001618x

zbMATH Keywords

directional derivativesgeneralized convex functionsClarke's subdifferential

Mathematics Subject Classification ID

Nonlinear programming (90C30) Nonsmooth analysis (49J52) Convexity of real functions of several variables, generalizations (26B25)

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Cites Work

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• Approximate first-order and second-order directional derivatives of a marginal function in convex optimization
• Nine kinds of quasiconcavity and concavity
• Strictly quasi-convex (concave) functions and duality in mathematical programming
• Weak lower subdifferentials and applications
• Quasi-Concave Programming
• Some properties of nondifferentiable pseudoconvex functions
• Characterization of nonsmooth functions through their generalized gradients
• Generalized Directional Derivatives and Subgradients of Nonconvex Functions
• Characterization of Lower Semicontinuous Convex Functions
• Seven Kinds of Convexity

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