Optimality conditions for weak and firm efficiency in set-valued optimization

DOI10.1016/j.jmaa.2008.03.053zbMath1170.49015OpenAlexW2070149319MaRDI QIDQ929583

Marius Durea

Publication date: 17 June 2008

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2008.03.053

zbMATH Keywords

set-valued optimizationweak efficiencyMordukhovich coderivativeBouligand derivativefirm efficiency

Mathematics Subject Classification ID

Optimality conditions and duality in mathematical programming (90C46) Set-valued and variational analysis (49J53) Optimality conditions (49K99)

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Cites Work

• Optimality conditions for nonsmooth multiobjective optimization using Hadamard directional derivatives
• From scalar to vector optimization.
• Existence of minimizers and necessary conditions in set-valued optimization with equilibrium constraints.
• Proto-differentiability of set-valued mappings and its applications in optimization
• Variational methods in partially ordered spaces
• First and second order sufficient conditions for strict minimality in nonsmooth vector optimization.
• Necessary conditions for super minimizers in constrained multiobjective optimization
• First and second-order Lagrange claims for set-valued maps
• First and second order optimality conditions for set-valued optimization problems
• Stability analysis for parametric vector optimization problems
• Fréchet subdifferential calculus and optimality conditions in nondifferentiable programming
• Generalized equations and their solutions, Part I: Basic theory
• Set-valued analysis
• Strict efficiency in vector optimization
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