Results 21 to 30 of about 1,086,676 (318)
From wall spaces to CAT(0) cube complexes [PDF]
We explain how to adapt a construction due to M. Sageev in order to construct a proper action of a group on a CAT(0) cube complex starting from a proper action of the group on a wall ...
Chatterji, Indira, Niblo, Graham
core +6 more sources
The Andoni-Naor-Neiman inequalities and isometric embeddability into a $\mathrm{CAT}(0)$ space [PDF]
Andoni, Naor and Neiman (2018) established a family of quadratic metric inequalities that hold true in every $\mathrm{CAT}(0)$ space. As stated in their paper, this family seems to include all previously used quadratic metric inequalities that hold true ...
Toyoda, Tetsu
core +2 more sources
Hyperbolic models for CAT(0) spaces
54 pages. v4: Accepted version. v3: Small corrections and clarifications, added an extra figure.
Petyt, Harry+2 more
openaire +3 more sources
Modified shrinking projection methods in CAT(0) space [PDF]
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
Fixed point theorem for Interpolative contraction of Suzuki type mappings in CAT (0) spaces
In this work, we obtained a fixed point theorems ω−ψ−interpolative Hardy–Rogers contraction, ω−ψ−interpolative Kannan contraction and ω−ψ−interpolative Reich–Rus–Ciric type contraction for Suzuki generalized non-expansive mappings in the context of ...
Muhammad Sarwar+2 more
doaj +2 more sources
The clinical spectrum of SMA‐PME and in vitro normalization of its cellular ceramide profile
Abstract Objective The objectives of this study were to define the clinical and biochemical spectrum of spinal muscular atrophy with progressive myoclonic epilepsy (SMA‐PME) and to determine if aberrant cellular ceramide accumulation could be normalized by enzyme replacement.
Michelle M. Lee+16 more
wiley +1 more source
A modified proximal point algorithm involving nearly asymptotically quasi-nonexpansive mappings
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
doaj +1 more source
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
doaj +1 more source
XXL type Artin groups are CAT(0) and acylindrically hyperbolic [PDF]
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
PTOLEMAIC SPACES AND CAT(0) [PDF]
AbstractWe consider Ptolemy's inequality in a metric space setting. It is not hard to see that CAT(0) spaces satisfy this inequality. Although the converse is not true in full generality, we show that if our Ptolemaic space is either a Riemannian or Finsler manifold, then it must also be CAT(0).
Buckley, S.M., Falk, K., Wraith, David
openaire +2 more sources