Results 41 to 50 of about 620,022 (302)
, 2011 We investigate various notions of rough CAT(0). These conditions define classes of spaces that strictly include the union of all Gromov hyperbolic length spaces and all CAT(0) spaces.
Buckley, Stephen M., Falk, Kurt
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On Ptolemaic metric simplicial complexes [PDF]
, 2009 We show that under certain mild conditions, a metric simplicial complex which satisfies the Ptolemy inequality is a CAT(0) space. Ptolemy's inequality is closely related to inversions of metric spaces. For a large class of metric simplicial complexes, we
Buckley +5 more
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Cell-Like Equivalences and Boundaries of CAT(0) Groups [PDF]
, 2010 In 2000, Croke and Kleiner showed that a CAT(0) group G can admit more than one boundary. This contrasted with the situation for word hyperbolic groups, where it was well-known that each such group admitted a unique boundary---in a very stong sense ...
Guilbault, Craig, Mooney, Christopher
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Halpern's Iteration in CAT(0) Spaces [PDF]
Fixed Point Theory and Applications, 2009 AbstractMotivated by Halpern's result, we prove strong convergence theorem of an iterative sequence in CAT(0) spaces. We apply our result to find a common fixed point of a family of nonexpansive mappings. A convergence theorem for nonself mappings is also discussed.
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Hyperbolic models for CAT(0) spaces
Advances in Mathematics54 pages. v4: Accepted version. v3: Small corrections and clarifications, added an extra figure.
Harry Petyt +2 more
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Geodesic flow for CAT(0)-groups
, 2010 We associate to a CAT(0)-space a flow space that can be used as the replacement for the geodesic flow on the sphere tangent bundle of a Riemannian manifold.
Arthur Bartels +7 more
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An exotic deformation of the hyperbolic space [PDF]
, 2014 On the one hand, we construct a continuous family of non-isometric proper CAT(-1) spaces on which the isometry group ${\rm Isom}(\mathbf{H}^{n})$ of the real hyperbolic $n$-space acts minimally and cocompactly.
Monod, Nicolas, Py, Pierre
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Journal of Inequalities and Applications, 2019 It is well known that the concept (generalized) asymptotically nonexpansive is closely related to the theory of fixed points in Banach spaces, and the implicit midpoint rule is one of the powerful numerical methods for solving differential equations. The
Ting-jian Xiong, Heng-you Lan
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Common Attractive Points of Generalized Hybrid Multi-Valued Mappings and Applications
Mathematics, 2020 In this paper, we first propose the concepts of (ζ,η,λ,π)-generalized hybrid multi-valued mappings, the set of all the common attractive points (CAf,g) and the set of all the common strongly attractive points (CsAf,g), respectively for the multi-valued ...
Lili Chen, Ni Yang, Jing Zhou
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Fixed point theorems for enriched Kannan mappings in CAT(0) spaces
Fixed Point Theory and Algorithms for Sciences and Engineering, 2023 We present enriched Kannan and enriched Bianchini mappings in the framework of unique geodesic spaces. For such mappings, we establish the existence and uniqueness of a fixed point in the setting of CAT(0) spaces and show that an appropriate ...
A. Y. Inuwa +3 more
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