Choquet theory in metric spaces

DOI10.4171/ZAA/952zbMath0966.46006MaRDI QIDQ1578899

T. Okon

Publication date: 20 August 2001

Published in: Zeitschrift für Analysis und ihre Anwendungen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/48841

zbMATH Keywords

Choquet theoremextreme pointsconvex subsetsmetric structure

Mathematics Subject Classification ID

Convex functions and convex programs in convex geometry (52A41) Inequalities and extremum problems involving convexity in convex geometry (52A40) Spherical and hyperbolic convexity (52A55) Convex sets in topological linear spaces; Choquet theory (46A55) Convex sets in topological vector spaces (aspects of convex geometry) (52A07) Variants of convex sets (star-shaped, ((m, n))-convex, etc.) (52A30)

Cites Work

• Contractibility and generalized convexity
• Spaces with non-positive curvature
• A convexity in metric space and nonexpansive mappings. I.
• Définitions de la somme et du produit par scalaire en termes de distance
• A Metric Characterization of Normed Linear Spaces
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