A note on cone-maximal and extreme points in topological vector spaces

DOI10.1080/01630568708816252zbMath0608.46008OpenAlexW2019238232MaRDI QIDQ3748747

A. Sterna-Karwat

Publication date: 1987

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630568708816252

zbMATH Keywords

convex conesKrein-Milman theoremconvex weakly compact subsetcone-efficiencyexistence of maximal (efficient) points

Mathematics Subject Classification ID

Programming in abstract spaces (90C48) 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 (4)

Remarks on convex cones ⋮ Convexity of the optimal multifunctions and its consequences in vector optimization ⋮ Approximating families of cones and proper efficiency in vector optimization ⋮ On the existence of efficient points in locally convex spaces

Cites Work

• An example in the theory of topological linear spaces
• Convex sets in linear spaces
• On Cone-Efficiency, Cone-Convexity and Cone-Compactness
• On the Existence of Pareto Efficient Points
• Unnamed Item
• Unnamed Item

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