A note on convex cones in topological vector spaces

DOI10.1017/S0004972700013071zbMath0594.46004OpenAlexW2151673143MaRDI QIDQ3724947

A. Sterna-Karwat

Publication date: 1987

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972700013071

zbMATH Keywords

convex conesPareto optimality

Mathematics Subject Classification ID

Existence theories for problems in abstract spaces (49J27) Convex sets in topological linear spaces; Choquet theory (46A55) Convex sets in topological vector spaces (aspects of convex geometry) (52A07) Ordered topological linear spaces, vector lattices (46A40)

Related Items (5)

Remarks on convex cones ⋮ Existence theorems for cone saddle points of vector-valued functions in infinite-dimensional spaces ⋮ Two types of minimax theorems for vector-valued functions ⋮ Convexity of the optimal multifunctions and its consequences in vector optimization ⋮ A note on a class of cones ensuring the existence of efficient points in bounded complete sets¹

Cites Work

• Unnamed Item
• Optimality conditions in nonconical multiple objective programming
• The geometry of Pareto efficiency over cones
• On Cone-Efficiency, Cone-Convexity and Cone-Compactness
• On the Existence of Pareto Efficient Points

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