Results 1 to 10 of about 620,022 (302)
Parabolic isometries of CAT(0) spaces and CAT(0) dimensions [PDF]
Algebraic & Geometric Topology, 2003 We study discrete groups from the view point of a dimension gap in connection to CAT(0) geometry. Developing studies by Brady-Crisp and Bridson, we show that there exist finitely presented groups of geometric dimension 2 which do not act properly on any ...
Ballmann +15 more
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Mann iteration for monotone nonexpansive mappings in ordered CAT(0) space with an application to integral equations [PDF]
Journal of Inequalities and Applications, 2018 In this paper, we establish some convergence results for a monotone nonexpansive mapping in a CAT(0) $\operatorname{CAT}(0)$ space. We prove the Δ- and strong convergence of the Mann iteration scheme. Further, we provide a numerical example to illustrate
Izhar Uddin +2 more
doaj +2 more sources
On splitting theorems for CAT(0) spaces and compact geodesic spaces of non-positive curvature [PDF]
, 2010 In this paper, we show some splitting theorems for CAT(0) spaces on which a product group acts geometrically and we obtain a splitting theorem for compact geodesic spaces of non-positive curvature.
Hosaka, Tetsuya
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CAT(0) spaces on which a certain type of singularity is bounded [PDF]
, 2010 In this paper, we present a geometric condition for a family of CAT(0) spaces, which ensures that the Izeki-Nayatani invariants of spaces in the family are uniformly bounded from above by a constant strictly less than 1.
Toyoda, Tetsu
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Strong Convergence of Viscosity Approximation Methods for Nonexpansive Mappings in CAT(0) Spaces [PDF]
Journal of Applied Mathematics, 2012 Viscosity approximation methods for nonexpansive mappings in CAT(0) spaces are studied. Consider a nonexpansive self-mapping T of a closed convex subset C of a CAT(0) space X. Suppose that the set Fix(T) of fixed points of T is nonempty.
Luo Yi Shi, Ru Dong Chen
doaj +2 more sources
Қарағанды университетінің хабаршысы. Математика сериясыIn this paper, we define enriched Bγ,µ mapping in CAT(0) space and derive some fixed point results for such mapping with the help of averaged mapping. Our results extend some existing results.
N. Goswami, D.D. Pathak
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Modified shrinking projection methods in CAT(0) space [PDF]
Proceedings of the Estonian Academy of Sciences, 2022 The aim of this paper is to introduce three modified shrinking projection methods involving two G-nonexpansive map- pings. We also prove the convergence of our proposed iterations to obtain the common fixed points of G-nonexpansive mappings in the ...
Sabiya Khatoon +2 more
doaj +1 more source
A modified proximal point algorithm involving nearly asymptotically quasi-nonexpansive mappings
Journal of Inequalities and Applications, 2021 In this paper, we propose a modified proximal point algorithm based on the Thakur iteration process to approximate the common element of the set of solutions of convex minimization problems and the fixed points of two nearly asymptotically quasi ...
Sabiya Khatoon +2 more
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Mathematics, 2021 The purpose of this article is to initiate the notion of monotone multivalued generalized (α,β)-nonexpansive mappings and explore the iterative approximation of the fixed points for the mapping in an ordered CAT(0) space.
Mujahid Abbas +3 more
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XXL type Artin groups are CAT(0) and acylindrically hyperbolic [PDF]
, 2021 We describe a simple locally CAT(0) classifying space for extra extra large type Artin groups (with all labels at least 5). Furthermore, when the Artin group is not dihedral, we describe a rank 1 periodic geodesic, thus proving that extra large type ...
Haettel, Thomas
core +3 more sources