First and second order optimality conditions for set-valued optimization problems

DOI10.1007/BF02875738zbMath1096.49012OpenAlexW1995037108MaRDI QIDQ2569873

Marius Durea

Publication date: 26 April 2006

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02875738

zbMATH Keywords

optimizationmultifunctionderivativetangent cone

Mathematics Subject Classification ID

Optimality conditions and duality in mathematical programming (90C46) Set-valued and variational analysis (49J53) Multiobjective variational problems, Pareto optimality, applications to economics, etc. (58E17)

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Cites Work

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• Set-valued derivatives of multifunctions and optimality conditions
• A notion of local proper efficiency in the Borwein sense in vector optimisation
• Set-valued analysis
• Optimality conditions for maximizations of set-valued functions

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