Generalized Higher-Order Optimality Conditions for Set-Valued Optimization under Henig Efficiency

DOI10.1080/01630560903139540zbMath1180.90254OpenAlexW2076719832MaRDI QIDQ3184206

Sheng Jie Li, Qi-Lin Wang

Publication date: 13 October 2009

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630560903139540

zbMATH Keywords

Henig efficient solutionsgeneralized higher-order optimality conditionsgeneralized m-th order contigent epiderivative

Mathematics Subject Classification ID

Nonconvex programming, global optimization (90C26) Multi-objective and goal programming (90C29) Nonlinear programming (90C30)

Related Items (17)

Higher-order sensitivity analysis in set-valued optimization under Henig efficiency ⋮ Higher-order generalized Studniarski epiderivative and its applications in set-valued optimization ⋮ Variational sets of perturbation maps and applications to sensitivity analysis for constrained vector optimization ⋮ New higher-order strong Karush-Kuhn-Tucker conditions for proper solutions in nonsmooth optimization ⋮ On necessary optimality conditions with higher-order complementarity slackness for set-valued optimization problems ⋮ Higher-order weakly generalized epiderivatives and applications to optimality conditions ⋮ Second-order optimality conditions for set-valued optimization problems under Benson proper efficiency ⋮ New higher-order weak lower inner epiderivatives and application to Karush-Kuhn-Tucker necessary optimality conditions in set-valued optimization ⋮ Second-order lower radial tangent derivatives and applications to set-valued optimization ⋮ Second-Order Optimality Conditions for Set-Valued Vector Equilibrium Problems ⋮ Sensitivity and stability for the second-order contingent derivative of the proper perturbation map in vector optimization ⋮ Higher-order optimality conditions in set-valued optimization using Studniarski derivatives and applications to duality ⋮ Higher-order weak radial epiderivatives and non-convex set-valued optimization problems ⋮ Second-order weakly composed adjacent-generalized contingent epiderivatives and applications to composite set-valued optimization problems ⋮ Higher-order generalized radial epiderivative and its applications to set-valued optimization problems ⋮ Second-order composed contingent epiderivatives and set-valued vector equilibrium problems ⋮ Higher-order optimality conditions for set-valued optimization with ordering cones having empty interior using variational sets

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