Recession cones and the domination property in vector optimization

DOI10.1007/BF01588781zbMath0721.90065OpenAlexW2405879537MaRDI QIDQ2641221

Dinh The Luc

Publication date: 1990

Published in: Mathematical Programming. Series A. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01588781

zbMATH Keywords

vector optimizationefficiency conditionsinfinite-dimensional spacesrecession cones of nonconvex setsseparated topological linear space

Mathematics Subject Classification ID

Multi-objective and goal programming (90C29) Programming in abstract spaces (90C48)

Related Items (13)

Axiomatic approach to duality in optimization ⋮ A general asymptotic function with applications in nonconvex optimization ⋮ Asymptotic analysis of scalarization functions and applications ⋮ On the density of proper efficient points ⋮ Convergence of asymptotic directions ⋮ Existence of efficient and properly efficient solutions to problems of constrained vector optimization ⋮ Recession maps and applications ⋮ Existence and Convergence of Optimal Points with Respect to Improvement Sets ⋮ Classification of semispaces according to their types in infinite-dimensional vector spaces ⋮ Recession function and its applications in optimization ⋮ Scalarization and stability in vector optimization ⋮ Recession cones and asymptotically compact sets ⋮ Another observation on conditions assuring \(\text{int }A+B= \text{int}(A+B)\)

Cites Work

• On the domination property in vector optimization
• Theory of multiobjective optimization
• The domination property in multicriteria optimization
• On a domination property for vector maximization with respect to cones
• Convexity and closedness of sets with respect to cones
• On the Existence of Pareto Efficient Points
• Convex Analysis
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