Higher-order optimality conditions for strict and weak efficient solutions in set-valued optimization

DOI10.1007/s11117-015-0369-xzbMath1373.90172OpenAlexW2146139347MaRDI QIDQ291997

Nguyen Le Hoang Anh

Publication date: 10 June 2016

Published in: Positivity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11117-015-0369-x

zbMATH Keywords

optimality conditioncontingent coneset-valued optimization problem\(C\)- subconvexlike near \(x_0\)\(C\)-preinvexity near \(x_0\)\(m\)th-order directionally compacthigher-order Studniarski epiderivativestability of order \(m\)strict efficient solutionweak efficient solution

Mathematics Subject Classification ID

Multi-objective and goal programming (90C29) Optimality conditions and duality in mathematical programming (90C46) Set-valued maps in general topology (54C60) Derivatives of functions in infinite-dimensional spaces (46G05)

Related Items (10)

Strict efficiency conditions for nonsmooth optimization with inclusion constraint under Hölder directional metric subregularity ⋮ Higher-order generalized Studniarski epiderivative and its applications in set-valued optimization ⋮ New higher-order weak lower inner epiderivatives and application to Karush-Kuhn-Tucker necessary optimality conditions in set-valued optimization ⋮ A note on ``Higher-order generalized Studniarski epiderivative and its applications in set-valued optimization ⋮ Higher-order weak radial epiderivatives and non-convex set-valued optimization problems ⋮ Higher-order generalized radial epiderivative and its applications to set-valued optimization problems ⋮ On Higher-Order Sensitivity Analysis of Parametric Henig Set-Valued Equilibrium Problems ⋮ Second-order sensitivity analysis for parametric equilibrium problems in set-valued optimization ⋮ Higher-order generalized tangent epiderivatives and applications to set-valued optimization ⋮ On optimality conditions for set-valued equilibrium problems

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