On the domination property in vector optimization

DOI10.1007/BF00936168zbMath0533.90081OpenAlexW2319028877MaRDI QIDQ790045

Dinh The Luc

Publication date: 1984

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

Full work available at URL: https://doi.org/10.1007/bf00936168

zbMATH Keywords

conesproper efficiencyefficient pointsdomination property479.90075convex vector maximization

Mathematics Subject Classification ID

Sensitivity, stability, parametric optimization (90C31)

Related Items (9)

The domination property in multicriteria optimization ⋮ A geometrical analysis of the efficient outcome set in multiple objective convex programs with linear criterion functions ⋮ Recession cones and the domination property in vector optimization ⋮ Stability in unified semi-infinite vector optimization ⋮ External and internal stability in set optimization ⋮ On the characterization of efficient points by means of monotone functionals ⋮ Convexity of the optimal multifunctions and its consequences in vector optimization ⋮ Stability and scalarization for a unified vector optimization problem ⋮ Extension of the Zorn lemma to general nontransitive binary relations

Cites Work

• On a domination property for vector maximization with respect to cones
• Existence and characterization of efficient decisions with respect to cones

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