Second-order directional derivatives for nonsmooth functions

DOI10.1016/0022-247X(87)90202-2zbMath0671.49012MaRDI QIDQ1119898

Robin W. Chaney

Publication date: 1987

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

sufficient conditionsnonsmooth functionssemismooth functionslocally Lipschitzian functionnecessary conditions in unconstrained minimizationupper and lower second-order directional derivatives

Mathematics Subject Classification ID

Convex programming (90C25) Nonlinear programming (90C30) Nonsmooth analysis (49J52) Continuity and differentiation questions (26B05) Convexity of real functions of several variables, generalizations (26B25)

Related Items

Calculus of directional subdifferentials and coderivatives in Banach spaces, On the relations between some second-order derivatives, Optimality conditions for piecewise \(C^ 2\) nonlinear programming, Piecewise Ck functions in nonsmooth analysis, Second-order optimality conditions for inequality constrained problems with locally Lipschitz data, Directional subdifferentials and optimality conditions, Calculus of directional coderivatives and normal cones in Asplund spaces, A study of piecewise linear-quadratic programs, Higher-Order Optimality Conditions and Higher-Order Tangent Sets, Feasible perturbations of control systems with pure state constraints and applications to second-order optimality conditions, Directionally limiting subdifferentials and second-order optimality conditions, Subdifferentials and derivatives with respect to a set and applications to optimization, A note on the connection between Chaney's derivatives and epi-derivatives, Higher-order conditions for strict efficiency, Variational analysis of a composite function: A formula for the lower second order epi-derivative, On the differentiability properties of the infimal regularisation of a prox-regular function, Parabolic regularity in geometric variational analysis, The check of optimality conditions in nonsmooth programming, Minimal approximate Hessians for continuously Gâteaux differentiable functions, Second-Order Characterizations of Convex and Pseudoconvex Functions, First- and Second-Order Epi-Differentiability in Nonlinear Programming, Second-order optimality conditions for minimizing a max-function, On relations and applications of generalized second-order directional derivatives

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