Higher-order Karush-Kuhn-Tucker optimality conditions for set-valued optimization with nonsolid ordering cones

DOI10.1007/s11117-016-0444-yzbMath1379.49020OpenAlexW2518245154MaRDI QIDQ1683241

Nguyen Le Hoang Anh, Phan Quoc Khanh

Publication date: 6 December 2017

Published in: Positivity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11117-016-0444-y

zbMATH Keywords

radial derivativesset-valued optimizationPareto solutionsgeneralized subconvexlikenesshigher-order Karush-Kuhn-Tucker conditionsnonsolid ordering conesquasi-relative efficient solutions

Mathematics Subject Classification ID

Multi-objective and goal programming (90C29) Optimality conditions and duality in mathematical programming (90C46) Set-valued and variational analysis (49J53) Derivatives of functions in infinite-dimensional spaces (46G05) Optimality conditions for problems in abstract spaces (49K27)

Related Items (2)

New higher-order weak lower inner epiderivatives and application to Karush-Kuhn-Tucker necessary optimality conditions in set-valued optimization ⋮ On optimality conditions for set-valued equilibrium problems

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