Second-order epi-derivatives of integral functionals

DOI10.1007/BF01027827zbMath0812.49017MaRDI QIDQ1321598

Adam B. Levy

Publication date: 5 April 1995

Published in: Set-Valued Analysis (Search for Journal in Brave)

zbMATH Keywords

nonsmooth analysisintegral functionalssensitivity analysisoptimality conditionsgeneralized second derivativesepi-derivativesfully amenable functions

Mathematics Subject Classification ID

Nonsmooth analysis (49J52) Differentiation theory (Gateaux, Fréchet, etc.) on manifolds (58C20)

Related Items (3)

Second-order subgradients of convex integral functionals ⋮ Sensitivity Analysis of Solutions to Generalized Equations ⋮ Epi-Derivatives of Integral Functionals with Applications

Cites Work

• Variational analysis of a composite function: A formula for the lower second order epi-derivative
• On the relations between two types of convergence for convex functions
• Second-Order Optimality Conditions in Nonlinear Programming Obtained by Way of Epi-Derivatives
• First- and Second-Order Epi-Differentiability in Nonlinear Programming
• On Pseudo-Differentiability
• An Extension of Attouch's Theorem and Its Application to Second-Order Epi-Differentiation of Convexly Composite Functions
• Generalized Second-Order Derivatives of Convex Functions in Reflexive Banach Spaces
• Epi-Derivatives of Integral Functionals with Applications
• Linear-Quadratic Programming and Optimal Control
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