Limiting subhessians, limiting subjets and their calculus

DOI10.1090/S0002-9947-97-01726-1zbMath0884.49012OpenAlexW1654370960MaRDI QIDQ5690994

Alexander D. Ioffe, Jean-Paul Penot

Publication date: 9 January 1997

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-97-01726-1

zbMATH Keywords

nonsmooth analysislower semicontinuous functionsuperjetsubjetabstract derivativesefficient subhessiansingular 2-subjet

Mathematics Subject Classification ID

Nonsmooth analysis (49J52) Applications of functional analysis in optimization, convex analysis, mathematical programming, economics (46N10) Derivatives of functions in infinite-dimensional spaces (46G05) Abstract differentiation theory, differentiation of set functions (28A15)

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Cites Work

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• The maximum principle for semicontinuous functions
• Generalized Hessian matrix and second-order optimality conditions for problems with \(C^{1,1}\) data
• The maximum principle for viscosity solutions of fully nonlinear second order partial differential equations
• Properties of generalized differentials
• Moreau's decomposition theorem revisited
• Maximum principle in the problem of time optimal response with nonsmooth constraints
• A Generalized Second-Order Derivative in Nonsmooth Optimization
• First- and Second-Order Epi-Differentiability in Nonlinear Programming
• On regularity conditions in mathematical programming
• User’s guide to viscosity solutions of second order partial differential equations
• Sub-hessians, super-hessians and conjugation
• Proximal Analysis and Approximate Subdifferentials
• Set-valued analysis