On convex metric spaces III
R. Duda (1962)
Fundamenta Mathematicae
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Displaying similar documents to “On convex metric spaces V”
On convex metric spaces III
Some properties of convex metric spaces
B. Krakus (1972)
Fundamenta Mathematicae
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Best approximation and strict convexity of metric spaces
Tulsi Dass Narang (1981)
Archivum Mathematicum
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The convexity of the subset space of a metric space
V. W. Bryant (1970)
Compositio Mathematica
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A "hidden" characterization of polyhedral convex sets
Taras Banakh, Ivan Hetman (2011)
Studia Mathematica
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We prove that a closed convex subset C of a complete linear metric space X is polyhedral in its closed linear hull if and only if no infinite subset A ⊂ X∖ C can be hidden behind C in the sense that [x,y]∩ C ≠ ∅ for any distinct x,y ∈ A.
Strictly convex metric spaces with round balls and fixed points
Inese Bula (2005)
Banach Center Publications
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The paper introduces a notion of strictly convex metric space and strictly convex metric space with round balls. These objects generalize the well known concept of strictly convex Banach space. We prove some fixed point theorems in strictly convex metric spaces with round balls.
On order and metric convexities in
M. Changat, A. Vijayakumar (1992)
Compositio Mathematica
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