Proto-derivative formulas for basic subgradient mappings in mathematical programming

DOI10.1007/BF01027106zbMath0813.49019MaRDI QIDQ1332550

R. Tyrrell Rockafellar, R. A. Poliquin

Publication date: 28 May 1995

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

zbMATH Keywords

point-to-set mappingsproto-differentiabilitygeneralized second derivativesamenable functionsepi-derivativessubgradient mapping

Mathematics Subject Classification ID

Nonlinear programming (90C30) Nonsmooth analysis (49J52) Differentiation theory (Gateaux, Fréchet, etc.) on manifolds (58C20) Set-valued and function-space-valued mappings on manifolds (58C06)

Related Items

On the relation between \(\mathcal U\)-Hessians and second-order epi-derivatives, Inclusions in general spaces: Hoelder stability, solution schemes and Ekeland's principle, Variational conditions and the proto-differentiation of partial subgradient mappings, Prox-regular functions in variational analysis, Characterization of Stochastic Viability of Any Nonsmooth Set Involving Its Generalized Contingent Curvature, Regularity and Stability of Feedback Relaxed Controls, Polar conic set-valued map in vector optimization. Continuity and derivability, Stability of inclusions: characterizations via suitable Lipschitz functions and algorithms

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