[PDF] Top 20 Strong Convergence of an Implicit Algorithm in CAT(0) Spaces

... A subset C of a CAT0 space X is convex if for any x, y ∈ C, we have x, y ⊂ C. Let T be a selfmap on a nonempty subset C of X. Denote the set of fixed points of T by FT {x ∈ C : T x x}. We say T is: i asymptotically ... See full document

... some strong convergence theorems of an implicit algorithm for a finite family of of total asymptotically nonexpansive mappings in the setting of CAT(0) ... See full document

... We describe briefly the needed details for a CAT() space. A metric space (X, d) is said to be a length space if any two points of X are joined by a rectifiable path (that is, a path of finite length) and the ... See full document

... 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

... and strong convergence theorems of the iterative scheme () in CAT() spaces for generalized nonexpansive mappings enabling us to enlarge the class of underlying mappings as well as the class ... See full document

... 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 ... See full document

... some strong convergence theorems of the proposed algorithm to common fixed points of nonexpansive mappings and to minimizers of a convex ...some strong convergence theorems of the PPA to ... See full document

... The purpose of this paper is to introduce the concepts of total asymptotically demicontractive mappings and total asymptotically hemicontractive mappings. Under suitable conditions some strong convergence ... See full document

... spaces. Then, a new mixed Agarwal-O’Regan-Sahu type iterative scheme [] for approx- imating a common fixed point of two total asymptotically nonexpansive mappings and two total asymptotically nonexpansive nonself ... See full document

... in CAT() spaces for total asymptotically nonexpansive nonself mappings which is essentially wider than that of the asymptotically nonexpansive nonself mappings and the asymptotically nonexpansive mapping ... See full document

... in CAT(0) spaces. Under suitable conditions, some strong convergence theorems for the sequence generated by the algorithms to a fixed point of the nonexpansive mapping are ... See full document

... a CAT(0) ...in CAT(0) spaces and they proved some ∆ and strong convergence theorems for asymptotically nonexpansive mappings which extend and improve some recent results ... See full document

... the convergence of implicit Mann iteration processes with bounded perturbations for approximating a common fixed point of nonexpansive semigroup in CAT(0) ...of implicit Mann iteration ... See full document

... iterative algorithm in a more general setup is a problem of interest in theoretical numerical ...general algorithm for strong conver- gence results in CAT(0) ...hyperbolic ... See full document

... We prove strong convergence of the viscosity approximation method for multivalued nonexpansive mappings in CAT(0) spaces. Our results generalize the results of Dhompongsa et al. (2012), ... See full document

... hyperbolic spaces, nonlinear in nature, is a general abstract theoretic setting with rich geometrical structure for metric fixed point ...hyperbolic spaces has been largely motivated and dominated by ... See full document

... 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

... Motivated by the above, in this paper, first we develop an example of Suzuki generalized nonexpansive mappings which is not nonexpansive. We compare the speed of conver- gence of the K iteration process with the leading ... See full document

... Strong convergence theorems for approximation of common fixed points of a finite family of pseudocontractive mappings are proven in Banach spaces using an implicit iteration ... See full document

... Let E be a reflexive, strictly convex, and smooth Banach space and let A ⊆ E × E* be a set-valued mapping with range R(A): = {x* Î E*: x* Î Ax } and domain D(A) = { x ∈ E : Ax = 0 } . Then, the mapping A is said ... See full document