Subdifferential calculus for set-valued mappings and optimality conditions for multiobjective optimization problems

DOI10.1007/s10957-018-1406-2zbMath1409.90177OpenAlexW2894573228WikidataQ129165075 ScholiaQ129165075MaRDI QIDQ1730392

Ahmed Taa

Publication date: 6 March 2019

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

Full work available at URL: https://doi.org/10.1007/s10957-018-1406-2

zbMATH Keywords

optimality conditionssubdifferentialset-valued vector optimizationLagrange/Karush/Kuhn/Tucker multipliers

Mathematics Subject Classification ID

Nonconvex programming, global optimization (90C26) Multi-objective and goal programming (90C29) Optimality conditions and duality in mathematical programming (90C46)

Related Items (3)

Pareto epsilon-subdifferential sum rule for set-valued mappings and applications to set optimization ⋮ Unnamed Item ⋮ Optimality conditions in set-valued optimization problems with respect to a partial order relation by using subdifferentials

Cites Work

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• On subdifferential calculus for set-valued mappings and optimality conditions
• Moreau-Rockafellar theorems for nonconvex set-valued maps
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• Conjugate duality in vector optimization
• A characterization of proper minimal points as solutions of sublinear optimization problems
• Subdifferentials of multifunctions and Lagrange multipliers for multiobjective optimization.
• Variational methods in partially ordered spaces
• \(\varepsilon\)-subdifferentials of set-valued maps and \(\varepsilon\)-weak Pareto optimality for multiobjective optimization
• ε-Optimality Conditions for Vector Optimization Problems with Set-Valued Maps
• Conjugate functions and subdifferentials in nonnormed situations for operators with complete graphs

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