Proto-Differentiation of Subgradient Set-Valued Mappings

DOI10.4153/CJM-1990-027-2zbMath0706.49014OpenAlexW2327793148MaRDI QIDQ3488056

R. A. Poliquin

Publication date: 1990

Published in: Canadian Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4153/cjm-1990-027-2

zbMATH Keywords

subgradientepidifferentiableproto-differentiable

Mathematics Subject Classification ID

Sensitivity, stability, well-posedness (49K40) Nonsmooth analysis (49J52)

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Proto-derivative formulas for basic subgradient mappings in mathematical programming ⋮ Variational conditions and the proto-differentiation of partial subgradient mappings ⋮ Prox-regular functions in variational analysis ⋮ Sensitivity analysis for nonsmooth generalized equations ⋮ Prox-regular functions in Hilbert spaces ⋮ The 𝒰-Lagrangian of a convex function ⋮ Differentiable selections and Castaing representations of multifunctions ⋮ Limiting behavior of the approximate second-order subdifferential of a convex function