Optimality conditions and Lagrange duality for vector extremum problems with set constraint

DOI10.1007/s10957-007-9267-0zbMath1171.90520OpenAlexW2169989933MaRDI QIDQ2483037

Yanyan Li

Publication date: 5 May 2008

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

Full work available at URL: https://doi.org/10.1007/s10957-007-9267-0

zbMATH Keywords

Lagrange dualityOptimality conditionsTheorems of the alternativeSet constraintsFeasible directionsG-differentialsSubconvexlike mappingsVector extremum problems

Mathematics Subject Classification ID

Multi-objective and goal programming (90C29) Optimality conditions and duality in mathematical programming (90C46) Programming in abstract spaces (90C48)

Related Items (5)

Conjugate duality and optimization over weakly efficient set ⋮ Conjugate duality for vector-maximization problems ⋮ Optimality condition and quasi-conjugate duality with zero gap in nonconvex optimization ⋮ Symmetric duality for homogeneous multiple-objective problems ⋮ Unnamed Item

Cites Work

• Unnamed Item
• A theorem of the alternative and its application to the optimization of set-valued maps
• The optimality conditions for vector optimization of set-valued maps
• Efficiency and generalized concavity
• Stability of strong detonation travelling waves to combustion model
• Lagrangean conditions and quasiduality
• Optimality conditions for maximizations of set-valued functions
• Generalized convexity in multiobjective programming

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