Second-order normal vectors to a convex epigraph

DOI10.1017/S0004972700009631zbMath0864.49015OpenAlexW2029722417MaRDI QIDQ4312399

Alberto Seeger

Publication date: 16 June 1997

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

Full work available at URL: https://doi.org/10.1017/s0004972700009631

zbMATH Keywords

convex functionlower semicontinuitysecond-order subdifferentialepi-derivatives

Mathematics Subject Classification ID

Nonsmooth analysis (49J52) Fréchet and Gateaux differentiability in optimization (49J50) Differentiation theory (Gateaux, Fréchet, etc.) on manifolds (58C20) Convexity of real functions of several variables, generalizations (26B25)

Cites Work

• Limiting behavior of the approximate second-order subdifferential of a convex function
• Generalized Second Derivatives of Convex Functions and Saddle Functions
• Calculus rules on a new set—valued second order derivative for convex functions
• First- and Second-Order Epi-Differentiability in Nonlinear Programming
• On Pseudo-Differentiability
• Second Derivatives of a Convex Function and of Its Legendre–Fenchel Transformate
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