Generalised second-order derivatives of convex functions in reflexive Banach spaces

DOI10.1017/S0004972700013897zbMath0822.49014WikidataQ57580595 ScholiaQ57580595MaRDI QIDQ4835426

Michel Théra, James Louis Ndoutoume

Publication date: 28 September 1995

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

zbMATH Keywords

optimal controlreflexive Banach spacesHessiansubdifferentialsfirst-order optimality conditionsemicontinuous convex functionsgeneralized second-order derivativesconvex generalized quadratic forms

Mathematics Subject Classification ID

Nonsmooth analysis (49J52) Set-valued functions (26E25) Differentiation theory (Gateaux, Fréchet, etc.) on manifolds (58C20)

Related Items

Graphical methods in first and second-order differentiability theory of integral functionals ⋮ Conciliating Generalized Derivatives ⋮ Variational composition of a monotone operator and a linear mapping with applications to elliptic PDEs with singular coefficients

Cites Work

• Unnamed Item
• Limiting behavior of the approximate second-order subdifferential of a convex function
• Characterization of the subdifferentials of convex functions
• Classical Banach spaces
• First- and Second-Order Epi-Differentiability in Nonlinear Programming
• Generalized Second-Order Derivatives of Convex Functions in Reflexive Banach Spaces
• Second Order Differentiability of Convex Functions in Banach Spaces
• Optimality Conditions for Control Problems Governed by Variational Inequalities