New second-order tangent epiderivatives and applications to set-valued optimization

DOI10.1007/s10957-016-1011-1zbMath1364.90305OpenAlexW2523142878MaRDI QIDQ511963

Yi-hong Xu, Zhen-hua Peng

Publication date: 23 February 2017

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

Full work available at URL: https://doi.org/10.1007/s10957-016-1011-1

zbMATH Keywords

set-valued optimizationKuhn-Tucker optimalitysecond-order epiderivative

Mathematics Subject Classification ID

Multi-objective and goal programming (90C29) Optimality conditions and duality in mathematical programming (90C46)

Related Items (8)

Second-Order Composed Contingent Derivative of the Perturbation Map in Multiobjective Optimization ⋮ 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 Karush-Kuhn-Tucker optimality conditions for set-valued optimization subject to mixed constraints ⋮ New second-order radial epiderivatives and nonconvex set-valued optimization problems ⋮ A note on ``Higher-order generalized Studniarski epiderivative and its applications in set-valued optimization ⋮ Second-order weakly composed adjacent-generalized contingent epiderivatives and applications to composite set-valued optimization problems ⋮ Second-order characterizations for set-valued equilibrium problems with variable ordering structures

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