[PDF] Top 20 Halpern's Iteration in CAT(0) Spaces
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Halpern's Iteration in CAT(0) Spaces
... Inspired by the results of Wittmann 13 and of Shioji and Takahashi 9, we use the iterative scheme introduced by Halpern to obtain a strong convergence theorem for a nonexpansive mapping in CAT0 space setting. A ... See full document
13
Effective metastability for modified Halpern iterations in CAT(0) spaces
... 7. Saejung, S: Halpern’s iteration in CAT(0) spaces. Fixed Point Theory Appl. 2010, Article ID 471781 (2010) 8. Avigad, J, Gerhardy, P, Towsner, H: Local stability of ergodic averages. ... See full document
19
Existence and approximation results for SKC mappings in CAT(0) spaces
... Recently, Karapınar and Tas (Comput. Math. Appl. 61:3370-3380, 2011) extended the class of Suzuki-generalized nonexpansive mappings to the class of SKC mappings. In this paper, we investigate SKC mappings to get a ... See full document
10
Fixed point theorems in CAT(0) spaces using a generalized Z-type condition
... Iteration procedures in fixed point theory are lead by the considerations in summability the- ory. For example, if a given sequence converges, then we don’t look for the convergence of the sequence of its ... See full document
13
From wall spaces to CAT(0) cube complexes
... In his thesis Sageev showed how to construct a CAT(0) cube complex starting with a finitely generated group G and a so-called codimension- one subgroup. Here we will adapt Sageev’s construction to the more ... See full document
29
On the strong and △ convergence of SP iteration on CAT(0) space
... A CAT() space plays a fundamental role in various areas of mathematics (see Bridson and Haefliger [], Burago et ...a CAT() space if it is geodesically connected and if every geodesic triangle in X is at ... See full document
10
S- Iteration Process for Convergence of Two Asymptotically Non-Expansive Mapping in CAT (0) Space
... [14] A.R. Khan, M.A. Khamsi and H. Fukhar-ud-din, Strong convergence of a general iteration scheme in CAT(0) spaces, Nonlinear Anal.: Theory, Method and Applications, Vol. 74(3)(2011), ... See full document
7
On the Ishikawa iteration processes for multivalued mappings in some CAT(κ) spaces
... a CAT(κ ) space is a geodesic space of bounded ...Here CAT means the initials of three mathematician’s names (E Cartan, AD Alexandrov and A Toponogov) who have made important contributions to the ... See full document
9
On Browder’s convergence theorem and Halpern iteration process for G-nonexpansive mappings in Hilbert spaces endowed with graphs
... The following result is needed for proving strong convergence of Halpern iteration pro- cess for G-nonexpansive mapping in Hilbert spaces endowed with a directed graph. Proposition . Let C be a ... See full document
12
Strong Convergence of an Implicit Algorithm in CAT(0) Spaces
... CAT0 spaces. It is worth mentioning that if an implicit iteration algorithm without an error term converges, then the method of proof generally carries over easily to algorithm with bounded error ... See full document
11
Shy couplings, CAT(0) spaces, and the lion and man
... is CAT(0) in its intrinsic ...bounded CAT(0) domains is dealt with in Alexander, Bishop, and Ghrist (2006); we summarize concepts from metric geometry and develop results required for the ... See full document
37
On the strong and Δ convergence of new multi step and S iteration processes in a CAT(0) space
... and iteration processes are some of the main tools in the study of fixed point ...and iteration processes that have been introduced and developed by several authors to serve various purposes in the ... See full document
13
Halpern iteration for strongly quasinonexpansive mappings on a geodesic space with curvature bounded above by one
... Hilbert spaces, the image recovery problem can be formulated as to find the nearest point in the intersection of a family of closed convex subsets from a given point by using the metric projection of each ... See full document
14
Implicit Mann approximation with perturbations for nonexpansive semigroups in CAT(0) spaces
... Mann iteration processes with bounded perturbations for approximating a common fixed point of nonexpansive semigroup in CAT(0) ...Mann iteration schemes with bounded perturbations for a family ... See full document
13
On the strong convergence of a modified S-iteration process for asymptotically quasi-nonexpansive mappings in a CAT(0) space
... a CAT() space if it is geodesically connected and if every geodesic triangle in X is at least as ‘thin’ as its comparison triangle in the Euclidean ...A CAT() space is a generalization of the Hadamard ... See full document
10
Demiclosed Principle for Asymptotically Nonexpansive Mappings in CAT(0) Spaces
... metric spaces, namely, CAT0 spaces, which will be defined in the next ...Krasnosel’skii-Mann iteration for asymptotically nonexpansive mappings in the CAT0 space ... See full document
14
Viscosity approximation methods for nonexpansive mappings in CAT(0) spaces
... Let C be a nonempty subset of a complete CAT() space X. Then the mapping T of C into itself is called nonexpansive iff d(Tx, Ty) ≤ d(x, y) for all x, y ∈ C. A point x ∈ C is called a fixed point of T if x = Tx. We ... See full document
15
Fixed Point Theorem of Modified S-Iteration Process for Ciric Quasi Contractive Operator in CAT(0) spaces
... a CAT(0) space if it is geodesically connected and if every ge- odesic triangle in X is at least as ’thin’ as its comparison triangle in the Euclidean ...a CAT(0) space. Other examples include ... See full document
10
Convergence of modified S iteration process for two asymptotically nonexpansive mappings in the intermediate sense in CAT(0) spaces
... modified S-iteration process () involving two asymptotically nonexpansive mappings in the intermediate sense and investigate the exis- tence and convergence theorems for the above mentioned mappings and ... See full document
15
Strong Convergence of Modified Halpern Iterations in CAT(0) Spaces
... CAT0 spaces was first studied by Kirk see 18, ...CAT0 spaces has been rapidly developed, and many papers have appeared see, ...CAT0 spaces specially in R-trees can be applied to graph theory, ... See full document
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