On second-order optimality conditions in constrained multiobjective optimization

DOI10.1016/j.na.2010.10.009zbMath1213.49025OpenAlexW2034275896MaRDI QIDQ622409

Dušan Bednařík, Karel Pastor

Publication date: 31 January 2011

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2010.10.009

zbMATH Keywords

Dini derivativegeneralized second-order directional derivative\(\ell \)-stable functionfirm efficient minimizerweakly efficient minimizer

Mathematics Subject Classification ID

Multi-objective and goal programming (90C29) Nonlinear programming (90C30) Nonsmooth analysis (49J52) Fréchet and Gateaux differentiability in optimization (49J50) Optimality conditions for free problems in two or more independent variables (49K10)

Related Items (11)

Strict efficiency conditions for nonsmooth optimization with inclusion constraint under Hölder directional metric subregularity ⋮ Generalization of \(C^{1,1}\) property in infinite dimension ⋮ Necessary conditions for vector optimization in infinite dimension ⋮ Second order sufficient optimality conditions in vector optimization ⋮ First and second-order optimality conditions for nonsmooth vector optimization using set-valued directional derivatives ⋮ Second-order optimality conditions with the envelope-like effect in nonsmooth multiobjective mathematical programming. I: \(l\)-stability and set-valued directional derivatives ⋮ Second-order optimality conditions with the envelope-like effect in nonsmooth multiobjective mathematical programming. II: Optimality conditions ⋮ Second-order sequence-based necessary optimality conditions in constrained nonsmooth vector optimization and applications ⋮ Relation between the class of M. Sama and the class of \(\ell\)-stable functions ⋮ On necessary optimality conditions for nonsmooth vector optimization problems with mixed constraints in infinite dimensions ⋮ Unnamed Item

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