New second-order optimality conditions for a class of differentiable optimization problems

DOI10.1007/s10957-016-0980-4zbMath1353.49019OpenAlexW2494957067MaRDI QIDQ727215

Nguyen Quang Huy, Nguyen Van Tuyen

Publication date: 6 December 2016

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10957-016-0980-4

zbMATH Keywords

local minimumsecond-order optimality conditionslimiting normal conesecond-order tangent setsymmetric second-order subdifferential

Mathematics Subject Classification ID

Optimality conditions and duality in mathematical programming (90C46) Nonsmooth analysis (49J52) Set-valued and variational analysis (49J53) Optimality conditions for solutions belonging to restricted classes (Lipschitz controls, bang-bang controls, etc.) (49K30)

Related Items (11)

Locally Lipschitz vector optimization problems: second-order constraint qualifications, regularity condition and KKT necessary optimality conditions ⋮ Integral Global Optimality Conditions and an Algorithm for Multiobjective Problems ⋮ On necessary optimality conditions with higher-order complementarity slackness for set-valued optimization problems ⋮ New second-order limiting directional derivatives and \(C^1\)-optimization ⋮ New second-order Karush-Kuhn-Tucker optimality conditions for vector optimization ⋮ Robust duality for robust efficient solutions in uncertain vector optimization problems ⋮ Fréchet Second-Order Subdifferentials of Lagrangian Functions and Optimality Conditions ⋮ On second-order Fritz John type optimality conditions for a class of differentiable optimization problems ⋮ Optimality conditions based on the Fréchet second-order subdifferential ⋮ Strong second-order Karush–Kuhn–Tucker optimality conditions for vector optimization ⋮ New constraint qualifications with second-order properties in nonlinear optimization

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• Second-Order Necessary Optimality Conditions for the Mayer Problem Subject to a General Control Constraint
• Second-Order Conditions for Optimization Problems with Constraints
• Second Order Optimality Conditions Based on Parabolic Second Order Tangent Sets

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