The isometry groups of riemannian manifolds admitting strictly convex functions
Takao Yamaguchi (1982)
Annales scientifiques de l'École Normale Supérieure
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Displaying similar documents to “Schauder fixed point theorem in spaces with global nonpositive curvature.”
The isometry groups of riemannian manifolds admitting strictly convex functions
A note on the characterization of the global maxima of a (tangentially) convex function over a convex set.
Hiriart-Urruty, J.-B., Ledyaev, Yuri S. (1996)
Journal of Convex Analysis
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On some aspects of Jensen-Menger convexity.
Joanna Ger, Roman Ger (1992)
Stochastica
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The paper contains various results concerning the so-called homogeneity sets for convex functions defined on convex subsets of some special metric spaces named G-space (cf. H. Busemann [1]). A closed graph theorem for such type mappings is also presented.
On convex metric spaces V
R. Duda (1970)
Fundamenta Mathematicae
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Proximinality in geodesic spaces.
Kaewcharoen, A., Kirk, W.A. (2006)
Abstract and Applied Analysis
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Isometries of spaces of convex compact subsets of globally non-positively Busemann curved spaces
Thomas Foertsch (2005)
Colloquium Mathematicae
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We consider the Hausdorff metric on the space of compact convex subsets of a proper, geodesically complete metric space of globally non-positive Busemann curvature in which geodesics do not split, and characterize their surjective isometries. Moreover, an analogous characterization of the surjective isometries of the space of compact subsets of a proper, uniquely geodesic, geodesically complete metric space in which geodesics do not split is given.
On almost coincidence points in generalized convex spaces.
Mitrović, Zoran D. (2006)
Fixed Point Theory and Applications [electronic only]
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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 order and metric convexities in
M. Changat, A. Vijayakumar (1992)
Compositio Mathematica
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Uniformly Convex Metric Spaces
Martin Kell (2014)
Analysis and Geometry in Metric Spaces
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In this paper the theory of uniformly convex metric spaces is developed. These spaces exhibit a generalized convexity of the metric from a fixed point. Using a (nearly) uniform convexity property a simple proof of reflexivity is presented and a weak topology of such spaces is analyzed. This topology, called coconvex topology, agrees with the usually weak topology in Banach spaces. An example of a CAT(0)-space with weak topology which is not Hausdorff is given. In the end existence and...
The convexity of the subset space of a metric space
V. W. Bryant (1970)
Compositio Mathematica
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