Second-order optimality conditions for inequality constrained problems with locally Lipschitz data

DOI10.1007/s11590-010-0186-xzbMath1244.90242OpenAlexW2085651279MaRDI QIDQ601984

Vsevolod I. Ivanov

Publication date: 29 October 2010

Published in: Optimization Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11590-010-0186-x

zbMATH Keywords

Lagrange multipliersregularitynonsmooth optimizationlocal minimizerGateaux differentiabilitysecond-order conditions for optimalitysecond-order isolated local minimizer

Mathematics Subject Classification ID

Optimality conditions and duality in mathematical programming (90C46) Nonsmooth analysis (49J52) Programming in abstract spaces (90C48)

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Second-order optimality conditions for constrained optimization problems with \(C^1\) data via regular and limiting subdifferentials ⋮ First-order necessary conditions in locally Lipschitz multiobjective optimization ⋮ Locally Lipschitz vector optimization problems: second-order constraint qualifications, regularity condition and KKT necessary optimality conditions ⋮ Second-order optimality conditions in locally Lipschitz multiobjective fractional programming problem with inequality constraints ⋮ Second-order necessary efficiency conditions for nonsmooth vector equilibrium problems ⋮ Unnamed Item ⋮ Second-order necessary conditions in locally Lipschitz optimization with inequality constraints ⋮ Necessary conditions for weak efficiency for nonsmooth degenerate multiobjective optimization problems ⋮ Parameter-free duality models and applications to semi-infinite minmax fractional programming based on second-order (\(\phi,\eta ,\rho ,\theta,\tilde{m}\))-sonvexities ⋮ Necessary conditions for weak minima and for strict minima of order two in nonsmooth constrained multiobjective optimization ⋮ Second-order optimality conditions in locally Lipschitz inequality-constrained multiobjective optimization

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