Hyperbolic spaces
Mixed type iterations for multivalued nonexpansive mappings in hyperbolic spaces
... theorems for two multivalued nonexpansive mappings in terms of mixed type iteration processes to approximate a common fixed point of two multivalued nonexpansive map- pings in hyperbolic spaces. The results ...
12
On Some Strong and Δ- Convergence Results for SKC Mappings in Hyperbolic Spaces
... Abstract: The aim of this paper is to prove some results on strong and △-convergence of S-iterative scheme for SKC mappings in hyperbolic spaces. The results presented here extend and improve the results of ...
5
Some convergence results for modified SP-iteration scheme in hyperbolic spaces
... In this paper, we prove some strong and -convergence theorems for a modified SP-iteration scheme for total asymptotically nonexpansive mappings in hyperbolic spaces by employing recent technical results of ...
11
△ convergence for mixed type total asymptotically nonexpansive mappings in hyperbolic spaces
... The following iteration process is a translation of the mixed Agarwal-O’Regan-Sahu type iterative scheme introduced in [] from Banach spaces to hyperbolic spaces. The iteration rate of convergence ...
8
Fixed point approximation for \(SKC\) mappings in hyperbolic spaces
... The purpose of this paper is to prove some strong and -convergence theorems of the S-iteration process which is generated by SKC-mappings in uniformly convex hyperbolic spaces. Our results can be viewed as ...
16
Convergence theorems for common fixed points of a finite family of total asymptotically nonexpansive nonself mappings in hyperbolic spaces
... of hyperbolic spaces, nonlinear in nature, is a general abstract theoretic setting with rich geometrical structure for metric fixed point ...of hyperbolic spaces has been largely motivated and ...
15
New iteration process for total asymptotically nonexpansive mappings in uniformly convex hyperbolic spaces
... of hyperbolic spaces is a fascinating field of research in nonlinear functional ...in spaces of non-positive sectional ...Banach spaces, which can be introduced in the general setup of ...
13
Quasi isometric maps between direct products of hyperbolic spaces
... In this paper, we consider a quasi-isometric embedding of a finite direct product of Gromov hyperbolic spaces into another such product with the same number of factors. We show that such a map respects the ...
18
An Alternative Manifold for Cosmology Using Seifert Fibered and Hyperbolic Spaces
... In our construction we remove the tubular neighbourhoods of singular orbits and replace them by a hyperbolic space thus achieving two things. First, avoiding singularities from any space is closer to a physical ...
16
Fixed point approximation of asymptotically nonexpansive mappings in hyperbolic spaces
... The purpose of this paper is to establish convergence results of iteration process () for asymptotically nonexpansive mappings on a nonlinear domain ((UC) hyperbolic spaces) which includes both (UC) Banach ...
15
An implicit algorithm for two finite families of nonexpansive maps in hyperbolic spaces
... It is worth mentioning that introducing and analyzing a general iterative algorithm in a more general setup is a problem of interest in theoretical numerical analysis. Very recently, Khan et al. [11] proposed and ...
12
Fixed points of nonself total asymptotically nonexpansive mappings in hyperbolic spaces
... Abstract. In this paper, we approximate fixed points of nonself ({µ n }, {v n }, ζ )− total asymptotically nonexpan- sive mappings via new iterative scheme and establish strong and ∆−convergence theorems in the setup of ...
22
Convergence analysis of a general iteration schema of nonlinear mappings in hyperbolic spaces
... Iterative schemas are ubiquitous in the area of abstract nonlinear analysis and still remain as a main tool for approximation of fixed points of generalizations of nonexpansive maps. The analysis of general iterative ...
18
Approximating common fixed points in hyperbolic spaces
... convex hyperbolic spaces. A particular example of such metric spaces is the class of CAT()-spaces (in the sense of Gromov) and R -trees (in the sense of ...Banach spaces in [] ...
15
Mixed type iteration for total asymptotically nonexpansive mappings in hyperbolic spaces
... The purpose of this paper is to introduce the concepts of total asymptotically nonex- pansive mappings and to prove some -convergence theorems of the mixed type itera- tion process for approximating a common fixed point ...
11
Hyperbolic spaces in Teichmüller spaces
... The case of n = 2 here can be compared to the result of Bonk and Kleiner [5] in which it is shown that every δ–hyperbolic group which is not virtually free contains a quasi-isometrically embedding ...
23
On the convergence of fixed points for Lipschitz type mappings in hyperbolic spaces
... vex hyperbolic space X with monotone modulus of uniform convexity η and T : C → C a uniformly continuous nearly asymptotically nonexpansive mapping with F(T ) = ∅ and sequence {a n , η(T n )} such ...
15
Embedding Text in Hyperbolic Spaces
... ing hyperbolic instead of Euclidean embed- ding spaces to represent hierarchical data and demonstrated encouraging results when em- bedding ...learn hyperbolic embeddings of arbitrarily parameterized ...
11
A characterization of hyperbolic spaces
... is hyperbolic in the sense of Gromov if and only if intersections of any two metric balls is itself “almost” a metric ...metric spaces by the property that the intersection of any two metric balls is always ...
19
On monotone pointwise contractions in Banach and metric spaces
... linear spaces are hyperbolic ...CAT() spaces [–]. We will say that a subset C of a hyperbolic metric space X is convex if [x, y] ⊂ C whenever x, y are in ...
8