Generalized Arrow-Barankin-Blackwell theorems in locally convex spaces

DOI10.1007/BF02191737zbMath0824.46006OpenAlexW2085527238MaRDI QIDQ1893458

Guang-Ya Chen

Publication date: 19 July 1995

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

Full work available at URL: https://doi.org/10.1007/bf02191737

zbMATH Keywords

densitysupport functionsminimal elements

Mathematics Subject Classification ID

Programming in abstract spaces (90C48) Ordered topological linear spaces, vector lattices (46A40)

Related Items (7)

Density theorems for generalized Henig proper efficiency ⋮ Generalization of the Arrow-Barankin-Blackwell theorem in a dual space setting ⋮ Generalizations of a theorem of Arrow, Barankin, and Blackwell in topological vector spaces ⋮ Connectivity of efficient solution sets in vector optimization of set-valued mappings ⋮ Maximal points of convex sets in locally convex topological vector spaces: generalization of the Arrow-Barankin-Blackwell theorem ⋮ Density theorems for ideal points in vector optimization ⋮ Existence and density results for proper efficiency in cone compact sets

Cites Work

• Unnamed Item
• A generalization of the Arrow-Barankin-Blackwell theorem in normed spaces
• The structure of admissible points with respect to cone dominance
• Bases of convex cones and Borwein's proper efficiency
• General form of the Arrow-Barabkin-Blackwell theorem in normed spaces and the \(l^ \infty\)-case
• 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
• Two Generalizations of a Theorem of Arrow, Barankin, and Blackwell
• Minimax Theorems

This page was built for publication: Generalized Arrow-Barankin-Blackwell theorems in locally convex spaces