Approximating families of cones and proper efficiency in vector optimization

DOI10.1080/02331938908843501zbMath0683.90086OpenAlexW1990843435MaRDI QIDQ4733688

A. Sterna-Karwat

Publication date: 1989

Published in: Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02331938908843501

zbMATH Keywords

vector optimizationnormed spaceclosed coneapproximating family of conescone-efficient point

Mathematics Subject Classification ID

Sensitivity, stability, parametric optimization (90C31) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)

Related Items (8)

On several concepts for \(\varepsilon\)-efficiency ⋮ An extension of the Kaliszewski cone to non-polyhedral pointed cones in infinite-dimensional spaces ⋮ Further results on quasi efficient solutions in multiobjective optimization ⋮ On the density of proper efficient points ⋮ On the density of properly maximal claims in financial markets with transaction costs ⋮ Ekeland variational principles involving set perturbations in vector equilibrium problems ⋮ Approximate proper solutions in vector equilibrium problems. Limit behavior and linear scalarization results ⋮ Limit Behavior of Approximate Proper Solutions in Vector Optimization

Cites Work

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• A cone separation theorem
• Proper efficiency with respect to cones
• Properly efficient and efficient solutions for vector maximization problems in Euclidean space
• The structure of admissible points with respect to cone dominance
• A note on the solution set in optimization with respect to cones
• A note on cone-maximal and extreme points in topological vector spaces
• Pareto efficiency in locally convex spaces i
• Continuity and Differentiability Properties of Convex Operators
• Proper Efficient Points for Maximizations with Respect to Cones
• On the Existence of Pareto Efficient Points

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