Optimality conditions for set-valued optimisation problems using a modified Demyanov difference

DOI10.1007/s10957-015-0745-5zbMath1353.49028OpenAlexW828797542MaRDI QIDQ346801

Maria Pilecka, Stephan Dempe

Publication date: 30 November 2016

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

Full work available at URL: https://doi.org/10.1007/s10957-015-0745-5

zbMATH Keywords

optimality conditionsdirectional derivativesupport functionset relationset-valued optimisation

Mathematics Subject Classification ID

Optimality conditions and duality in mathematical programming (90C46) Nonsmooth analysis (49J52) Set-valued and variational analysis (49J53) Set-valued maps in general topology (54C60) Ordered sets (06A99) Optimality conditions for problems involving relations other than differential equations (49K21)

Related Items (7)

A Hausdorff-type distance, a directional derivative of a set-valued map and applications in set optimization ⋮ New optimality conditions and a scalarization approach for a nonconvex semi-vectorial bilevel optimization problem ⋮ Optimality conditions for set optimization using a directional derivative based on generalized Steiner sets ⋮ Optimization of first-order Nicoletti boundary value problem with discrete and differential inclusions and duality ⋮ Optimality conditions in set-valued optimization problem with respect to a partial order relation via directional derivative ⋮ Second-order optimality conditions for set optimization using coradiant sets ⋮ Optimality conditions in set optimization employing higher-order radial derivatives

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