General form of the Arrow-Barabkin-Blackwell theorem in normed spaces and the \(l^ \infty\)-case
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Publication:1321406
DOI10.1007/BF00941890zbMath0796.49016MaRDI QIDQ1321406
Publication date: 27 April 1994
Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)
Multi-objective and goal programming (90C29) Nonsmooth analysis (49J52) Programming in abstract spaces (90C48)
Related Items (11)
Generalized Arrow-Barankin-Blackwell theorems in locally convex spaces ⋮ Density theorems for generalized Henig proper efficiency ⋮ Generalization of the Arrow-Barankin-Blackwell theorem in a dual space setting ⋮ On the density of positive proper efficient points in a normed space ⋮ 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 ⋮ A New Abb Theorem In Banach Spaces ⋮ Existence and density results for proper efficiency in cone compact sets ⋮ Some more density results for proper efficiencies
Cites Work
- A generalization of the Arrow-Barankin-Blackwell theorem in normed spaces
- The structure of admissible points with respect to cone dominance
- Efficiency prices for optimal consumption plans
- Efficiency prices for optimal consumption plans. II
- Cone convexity, cone extreme points, and nondominated solutions in decision problems with multiobjectives
- 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
- Efficiency Prices in Infinite Dimensional Spaces: A Synthesis
- Minimax Theorems
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