The Menelaus Property characterizes real rotund Banach spaces
J. Valentine (1978)
Fundamenta Mathematicae
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Displaying similar documents to “Strictly convex spheres in V-spaces”
The Menelaus Property characterizes real rotund Banach spaces
The Demyanov metric and some other metrics in the family of convex sets
Tadeusz Rzeżuchowski (2012)
Open Mathematics
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We describe some known metrics in the family of convex sets which are stronger than the Hausdorff metric and propose a new one. These stronger metrics preserve in some sense the facial structure of convex sets under small changes of sets.
Some properties of convex metric spaces
B. Krakus (1972)
Fundamenta Mathematicae
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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 new definition of the circle by the use of bisectors
A. Berard, W. Nitka (1974)
Fundamenta Mathematicae
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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 some properties of hyperconvex spaces.
Borkowski, Marcin, Bugajewski, Dariusz, Phulara, Dev (2010)
Fixed Point Theory and Applications [electronic only]
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Geometrical concepts in normed linear spaces
Bumcrot, Robert J. (1967)
Portugaliae mathematica
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Caristi's fixed point theorem and metric convexity
W. A. Kirk (1976)
Colloquium Mathematicae
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Gluing Hyperconvex Metric Spaces
Benjamin Miesch (2015)
Analysis and Geometry in Metric Spaces
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We investigate how to glue hyperconvex (or injective) metric spaces such that the resulting space remains hyperconvex. We give two new criteria, saying that on the one hand gluing along strongly convex subsets and on the other hand gluing along externally hyperconvex subsets leads to hyperconvex spaces. Furthermore, we show by an example that these two cases where gluing works are opposed and cannot be combined.