Density of the set of positive proper minimal points in the set of minimal points

DOI10.1007/BF02192161zbMath0838.90105OpenAlexW2004567348MaRDI QIDQ1905938

Yanyan Li

Publication date: 30 May 1996

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

Full work available at URL: https://doi.org/10.1007/bf02192161

zbMATH Keywords

vector optimizationapproximating conesdentable pointpositive proper minimal points

Mathematics Subject Classification ID

Multi-objective and goal programming (90C29)

Related Items (18)

A note on lower semicontinuity of minimal points ⋮ Characterizations of some remarkable classes of cones ⋮ Density and connectedness of optimal points with respect to improvement sets ⋮ A geometrical analysis of the efficient outcome set in multiple objective convex programs with linear criterion functions ⋮ A new ABB theorem in normed vector spaces ⋮ Pareto efficiency without topology ⋮ Weak Henig proper solution sets for set optimization problems ⋮ On the density of properly maximal claims in financial markets with transaction costs ⋮ Some characterizations of ideal points in vector optimization problems ⋮ On geometry of cones and some applications ⋮ Some geometrical aspects of the efficient line in vector optimization ⋮ Geometry of cones and an application in the theory of Pareto efficient points ⋮ Density theorems for ideal points in vector optimization ⋮ Denting points of convex sets and weak property \((\pi)\) of cones in locally convex spaces ⋮ On dentability and cones with a large dual ⋮ Some more density results for proper efficiencies ⋮ A set-valued Lagrange theorem based on a process for convex vector programming ⋮ On the density of Henig efficient points in locally convex topological vector spaces

Cites Work

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• Maximal points with respect to cone dominance in Banach spaces and their existence
• The structure of admissible points with respect to cone dominance
• Connectedness of efficient solution sets for set-valued maps in normed spaces
• Cone convexity, cone extreme points, and nondominated solutions in decision problems with multiobjectives
• On a Theorem of Arrow, Barankin, and Blackwell
• Positive Proper Efficient Points and Related Cone Results in Vector Optimization Theory
• A Generalization of a Theorem of Arrow, Barankin, and Blackwell
• The geometry of Pareto efficiency over cones
• On Cone-Efficiency, Cone-Convexity and Cone-Compactness

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