Second-order necessary conditions in locally Lipschitz optimization with inequality constraints

DOI10.1007/s11590-014-0725-yzbMath1318.49026OpenAlexW2006349151MaRDI QIDQ2017828

Elena Constantin

Publication date: 23 March 2015

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

Full work available at URL: https://doi.org/10.1007/s11590-014-0725-y

zbMATH Keywords

necessary optimality conditionsnonsmooth optimizationlocally Lipschitz functionssecond-order directional derivativesClarke's generalized derivativeisolated local minimizer

Mathematics Subject Classification ID

Optimality conditions and duality in mathematical programming (90C46) Nonsmooth analysis (49J52) Programming in abstract spaces (90C48) Optimality conditions for problems in abstract spaces (49K27)

Related Items (8)

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 ⋮ Necessary conditions for weak efficiency for nonsmooth degenerate multiobjective optimization problems ⋮ Necessary conditions for weak minima and for strict minima of order two in nonsmooth constrained multiobjective optimization ⋮ Second-order optimality conditions and Lagrange multiplier characterizations of the solution set in quasiconvex programming ⋮ Second-order optimality conditions in locally Lipschitz inequality-constrained multiobjective optimization

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