Higher-order weakly generalized adjacent epiderivatives and applications to duality of set-valued optimization

DOI10.1155/2009/462637zbMath1173.49016OpenAlexW2097274121WikidataQ59248262 ScholiaQ59248262MaRDI QIDQ1035503

Sheng Jie Li, Qi-Lin Wang

Publication date: 3 November 2009

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

Full work available at URL: https://eudml.org/doc/130815

zbMATH Keywords

converse dualitystrong dualityweak dualityset-valued optimization problemMond-Weir type dual problemweak minimalityepiderivativeWolfe type dual problem

Mathematics Subject Classification ID

Set-valued and variational analysis (49J53) Duality theory (optimization) (49N15)

Related Items

On optimality conditions for quasi-relative efficient solutions in set-valued optimization ⋮ Higher-order optimality conditions for strict and weak efficient solutions in set-valued optimization ⋮ Higher-order Karush-Kuhn-Tucker optimality conditions for set-valued optimization with nonsolid ordering cones ⋮ On higher-order mixed duality in set-valued optimization ⋮ Duality and its applications to optimality conditions with nonsolid cones ⋮ Sensitivity and stability for the second-order contingent derivative of the proper perturbation map in vector optimization ⋮ Generalized second-order contingent epiderivatives in parametric vector optimization problems ⋮ Higher-order optimality conditions for set-valued optimization with ordering cones having empty interior using variational sets

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