[PDF] Top 20 Approximating Fixed Points of Nonexpansive Nonself Mappings in CAT(0) Spaces

... every nonexpansive single-valued mapping defined on a bounded closed convex subset of a complete CAT0 space always has a fixed ...the fixed point theory for single-valued and multivalued ... See full document

... fixed points, -convergence and strong convergence theorems for total asymptotically nonexpansive nonself mappings in the framework of CAT(0) ...such mappings are also ... See full document

... for approximating fixed points of nonexpansive single-valued mappings have been investigated by various authors using the Mann as well as Ishikawa iteration ...fixed points for various ... See full document

... fixed points of T , ...is nonexpansive if Tx – Ty ≤ x – y for all x, y in C, and that T is quasi-nonexpansive if F(T) = ∅ and Tx – y ≤ x – y for all x in C and y in F(T ... See full document

... two points of X are joined by a geodesic, and X is said to be uniquely geodesic if there is exactly one geodesic joining x to y, for each x, y Î ...three points in X ... See full document

... fixed points of single-valued mappings in modular function spaces has been studied by many ...fixed points in such spaces via convergence of an iterative process for single-valued ... See full document

... for approximating fixed points of nonexpansive mappings in Banach spaces have been studied by various authors using the Mann iteration processes or the Ishikawa ietration ...of ... See full document

... all fixed points of ...asymptotic fixed point of T (see Reich [23]) if there exists a sequence { z n } in C converging weakly to z and lim n z n − Tz n = ... See full document

... Let (X, d) be a metric space. A geodesic path joining x ∈ X to y ∈ X (or, more briefly, a geodesic from x to y) is a map c from a closed interval [, ] ⊆ R to X such that c() = x, c() = y, and d(c(t), c(t )) = |t – t | ... See full document

... for nonexpansive single valued mappings in CAT ...multivalued nonexpansive map- pings in CAT(0) ...valued mappings, called conditions (E ) and (C λ ), which are weaker ... See full document

... Within the past 20 years or so, a few researchers have applied the Mann iteration method and the Ishikawa iteration method to approximate fixed points of nonexpansive mappings in several ... See full document

... 1. Introduction. Let D be a nonempty, closed, and convex subset of a uniformly convex Banach space B, and T : D → D with fixed point set F(T ). Recently, Ghosh and Debnath [1] introduced the generalized versions of the ... See full document

... the mappings s → ts and s → st from S to S are continuous, and let BC(S) be the Banach space of all bounded continuous real-valued functions with supremum ... 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 X is convex if, for any x, y ∈ K , we ... See full document

... quasi-nonexpansive mappings to a common fixed point of the mappings defined on a nonempty closed convex subset of a uniformly convex Banach ... See full document

... In [30], Rhoades obtained strong convergence theorem for asymptotically nonexpan- sive mappings in uniformly convex Banach spaces using a modified Ishikawa iteration method. Osilike and Aniagbosor proved in ... See full document

... Lemma 2.7 (Zhang [38]). Let C be a nonempty, closed and convex subset of a smooth, strictly convex and reflexive Banach space E. Let A : C → E ∗ be a continuous and monotone mapping, let f be a bifunction from C × C to R ... See full document

... fixed points set F(T ) in D will be said to satisfy condition A [2, 4] if there is a nondecreasing function f : [0,∞) → [0,∞) with f (0) = 0, f (r ) > 0 for r ∈ (0,∞), ... See full document

... Development of this subject had been made by several authors [1,6-8]. The main purpose of this article is to extend this result of Rodé for a nonexpansive semigroup on a CAT(0) space in which the Δ ... See full document

... and 0 ≤ α < 1, then f has a unique fixed ...called nonexpansive. The nonexansive mappings have been studied by Kirk and Goebel [6] for fixed ...generalized nonexpansive ... See full document