Results 81 to 90 of about 76,916 (203)

Contractibility of boundaries of cocompact convex sets and embeddings of limit sets

Analysis and Geometry in Metric Spaces
We provide sufficient conditions as to when a boundary component of a cocompact convex set in a CAT(0){\rm{CAT}}\left(0)-space is contractible. We then use this to study when the limit set of a quasi-convex, codimension one subgroup of a negatively ...
Bregman Corey, Incerti-Medici Merlin
doaj   +1 more source

Some Convergence Theorems of Modified Proximal Point Algorithms for Nonexpansive Mappings in CAT(0) Spaces [PDF]

Results in Nonlinear Analysis, 2018
In this paper, a new modified proximal point algorithm is proposed for finding a common element of the set of fixed points of a single-valued nonexpansive mapping, and the set of fixed points of a multivalued nonexpansive mapping, and the set of ...
Shengquan Weng , Dingping Wu
doaj  

A Generalization of Suzuki's Lemma

Abstract and Applied Analysis, 2011
Let {zn}, {wn}, and {vn} be bounded sequences in a metric space of hyperbolic type (X,d), and let {αn} be a sequence in [0,1] with ...
B. Panyanak, A. Cuntavepanit
doaj   +1 more source

An Application of Proof Mining to the Proximal Point Algorithm in CAT(0) Spaces [PDF]

, 2018
Laurenţiu Leuştean, Andrei Sipoş
openalex   +1 more source

Some Convergence Theorems for Contractive Type Mappings in CAT(0) Spaces

Abstract and Applied Analysis, 2013
We establish theorems of strong convergence, for the Ishikawa-type (or two step; cf. Ishikawa, 1974) iteration scheme, to a fixed point of a uniformly L-Lipschitzian asymptotically demicontractive mapping and a uniformly L-Lipschitzian hemicontractive ...
Kyung Soo Kim
doaj   +1 more source

Sublinearly Morse Boundary I: CAT(0) Spaces

, 2019
To every Gromov hyperbolic space X one can associate a space at infinity called the Gromov boundary of X. Gromov showed that quasi-isometries of hyperbolic metric spaces induce homeomorphisms on their boundaries, thus giving rise to a well-defined notion of the boundary of a hyperbolic group.
Qing, Yulan, Rafi, Kasra, Tiozzo, Giulio
openaire   +2 more sources

Invitation to Alexandrov geometry: CAT[0] spaces

, 2017
98 pages, 36 ...
Alexander, Stephanie, Kapovitch, Vitali, Petrunin, Anton   +2 more
openaire   +2 more sources

Rank-one isometries of proper CAT(0)-spaces [PDF]

, 2008
Ursula Hamenstaedt
openalex   +1 more source

Rank Rigidity for CAT(0) spaces without 3-flats [PDF]

, 2022
Stephan Stadler
openalex   +1 more source

CAT(0) spaces on which a certain type of singularity is bounded [PDF]

, 2010
Tetsu Toyoda
openalex   +1 more source