On the density of positive proper efficient points in a normed space

DOI10.1023/B:JOTA.0000005043.39887.76zbMath1094.90044OpenAlexW1977691692MaRDI QIDQ597162

Sumit K. Garg

Publication date: 6 August 2004

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

Full work available at URL: https://doi.org/10.1023/b:jota.0000005043.39887.76

zbMATH Keywords

normed spacesefficient pointspositive proper efficient pointsquasi-Bishop-Phelps conesVector optimization

Mathematics Subject Classification ID

Multi-objective and goal programming (90C29) Geometry and structure of normed linear spaces (46B20) Applications of functional analysis in optimization, convex analysis, mathematical programming, economics (46N10)

Related Items (7)

Density and connectedness of optimal points with respect to improvement sets ⋮ On efficient portfolio selection using convex risk measures ⋮ Bishop–Phelps cones given by an equation in Banach spaces ⋮ Weak Henig proper solution sets for set optimization problems ⋮ Some geometrical aspects of efficient points in vector optimization ⋮ A generalization of a theorem of Arrow, Barankin and Blackwell to a nonconvex case ⋮ Pareto solutions of polyhedral-valued vector optimization problems in Banach spaces

Cites Work

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• Weak\(^*\) support points of convex sets in \(E^*\)
• Ordered linear spaces
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• Positive Proper Efficient Points and Related Cone Results in Vector Optimization Theory
• The Price Equilibrium Existence Problem in Topological Vector Lattices
• A Generalization of a Theorem of Arrow, Barankin, and Blackwell
• The geometry of Pareto efficiency over cones
• Two Generalizations of a Theorem of Arrow, Barankin, and Blackwell

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