Generalization of the Arrow-Barankin-Blackwell theorem in a dual space setting

DOI10.1023/A:1022647831434zbMath0893.90152OpenAlexW1601829414MaRDI QIDQ1372551

J. Ning

Publication date: 22 July 1998

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

Full work available at URL: https://doi.org/10.1023/a:1022647831434

zbMATH Keywords

vector optimizationefficiencydensitysupport points

Mathematics Subject Classification ID

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

Related Items (3)

A new ABB theorem in normed vector spaces ⋮ On the density of positive proper efficient points in a normed space ⋮ Existence and density results for proper efficiency in cone compact sets

Cites Work

• The structure of admissible points with respect to cone dominance
• Application of functional analysis to models of efficient allocation of economic resources
• General form of the Arrow-Barabkin-Blackwell theorem in normed spaces and the \(l^ \infty\)-case
• Density theorems for generalized Henig proper efficiency
• The Arrow-Barankin-Blackwell theorem in a dual space setting
• Generalized Arrow-Barankin-Blackwell theorems in locally convex spaces
• Efficiency prices for optimal consumption plans. II
• 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
• Density Results for Proper Efficiencies
• Two Generalizations of a Theorem of Arrow, Barankin, and Blackwell
• On the Existence of Pareto Efficient Points
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