Dini set-valued directional derivative in locally Lipschitz vector optimization

DOI10.1007/s10957-009-9551-2zbMath1187.90253OpenAlexW1983583792MaRDI QIDQ1039353

Matteo Rocca, Angelo Guerraggio, Ivan Ginchev

Publication date: 27 November 2009

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

Full work available at URL: https://doi.org/10.1007/s10957-009-9551-2

zbMATH Keywords

vector optimizationoptimality conditionsDini derivativeslocally Lipschitz optimization

Mathematics Subject Classification ID

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

Related Items (5)

First-order necessary conditions in locally Lipschitz multiobjective optimization ⋮ Optimality and duality in set-valued optimization utilizing limit sets ⋮ Necessary conditions for weak efficiency for nonsmooth degenerate multiobjective optimization problems ⋮ Optimality and duality in nonsmooth conic vector optimization ⋮ Optimality conditions and duality for nonsmooth vector equilibrium problems with constraints

Cites Work

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• Optimality conditions for nonsmooth multiobjective optimization using Hadamard directional derivatives
• First order optimality conditions in vector optimization involving stable functions
• Nonsmooth multiobjective programming
• Set-valued analysis

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