On second derivatives for nonsmooth functions

DOI10.1016/0362-546X(85)90030-6zbMath0575.49005OpenAlexW2080395926MaRDI QIDQ3695894

Robin W. Chaney

Publication date: 1985

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0362-546x(85)90030-6

zbMATH Keywords

local minimizersecond-order directional derivativelocally Lipschitzian function

Mathematics Subject Classification ID

Convex programming (90C25) Nonlinear programming (90C30) Fréchet and Gateaux differentiability in optimization (49J50) Methods involving semicontinuity and convergence; relaxation (49J45) Differentiation theory (Gateaux, Fréchet, etc.) on manifolds (58C20) Continuity and differentiation questions (26B05) Derivatives of functions in infinite-dimensional spaces (46G05)

Related Items

Calculus of directional subdifferentials and coderivatives in Banach spaces, On the relations between some second-order derivatives, Second-order necessary conditions in semismooth optimization, Second-order directional derivatives for nonsmooth functions, Calculus of directional coderivatives and normal cones in Asplund spaces, Higher-Order Optimality Conditions and Higher-Order Tangent Sets, Twice Epi-Differentiability of Extended-Real-Valued Functions with Applications in Composite Optimization, Directionally limiting subdifferentials and second-order optimality conditions, A note on the connection between Chaney's derivatives and epi-derivatives, Convexification of nonsmooth monotone functions, The 𝒰-Lagrangian of a convex function, Parabolic regularity in geometric variational analysis, Second-order optimality conditions for minimizing a max-function, Calculus for parabolic second-order derivatives

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