Higher-order weakly generalized epiderivatives and applications to optimality conditions

DOI10.1155/2012/691018zbMath1245.49030OpenAlexW2048285872WikidataQ58907156 ScholiaQ58907156MaRDI QIDQ443031

Guolin Yu, Qi-Lin Wang

Publication date: 6 August 2012

Published in: Journal of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2012/691018

zbMATH Keywords

set-valued mapsnecessary and sufficient optimality conditionsHenig efficient solutionhigher-order weakly generalized adjacent epiderivativehigher-order weakly generalized contingent epiderivative

Mathematics Subject Classification ID

Set-valued and variational analysis (49J53) Optimality conditions for problems in abstract spaces (49K27)

Related Items (4)

Higher-order optimality conditions for strict and weak efficient solutions in set-valued optimization ⋮ Second-Order Composed Radial Derivatives of the Benson Proper Perturbation Map for Parametric Multi-Objective Optimization Problems ⋮ New second-order radial epiderivatives and nonconvex set-valued optimization problems ⋮ Second-order weakly composed adjacent-generalized contingent epiderivatives and applications to composite set-valued optimization problems

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