[PDF] Top 20 Approximating fixed points for nonself mappings in CAT(0) spaces

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

... Lemma . Let C be a nonempty subset of a CAT() space X. Let T : C → X be an α- nonexpansive mapping for some α <  such that F(T) = ∅. Then T is quasi-nonexpansive. Lemma . Let C be a nonempty closed and ... See full document

... interval 0, l ⊂ R to X such that c0 x, cl y, and dct, ct |t − t | for all t, t ∈ 0, ...two points of X are joined by a geodesic, and X is said to be uniquely geodesic if there is exactly one geodesic ... See full document

... nonempty fixed point set is quasi-nonexpansive and an asymptotically nonexpan- sive mapping with a nonempty fixed point set is asymptotically ...> 0 and γ > 0 such ... See full document

... Let (X, d) be a metric space and x, y ∈ X with d(x, y) = l. A geodesic path from x to y is an isometry c : [0, l] → X such that c(0) = x and c(l) = y. The image of a geodesic path is called a geodesic ... See full document

... nonexpansive mappings in CAT(0) spaces and prove that the sequence generated by our iterative process converges to a minimizer of a convex function and a fixed point of ... See full document

... for approximating common …xed points of two nonself asymptotically nonexpansive mappings in Banach ...for nonself mappings but is independent of Ishikawa iteration ... See full document

... nonexpansive mappings in a nonempty compact convex subset C of a complete CAT(0) space X and prove that the proposed sequence converges to a common fixed point for these semigroups of nonexpansive ... See full document

... the sets of all real numbers and all nonnegative real numbers, respectively. co A means the closure of the convex hull of A. A Banach space E is called uniformly convex if for each > 0 there is a δ > ... See full document

... hyperbolic spaces include several types of spaces including those of uniformly convex Banach spaces as well as CAT(0) ...Banach spaces as well as CAT(0) ... See full document

... complete CAT(0) space X has the property of the nice projection onto geodesics (property (N) for short) if, given any geodesic segment I ⊂ X, it is the case that π I (m) Î [ π I (x), π I (y)] for any x, y ... 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

... a CAT (0) 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(0) space. other examples include ... See full document

... ric spaces and summarize some useful lemmas and the main properties of CAT() ...a CAT() space; see Lemma ...nonexpansive mappings satisfying AKTT condition by choosing an appropriate control ... See full document

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

... nonexpansive mappings in a Banach space. We first prove that the fixed-point set of this operator is identical to the set of all common fixed points of the ...common fixed points ... See full document

... proposed iterations in uniformly convex Banach spaces. They [18] also introduced another new two- step iterative scheme with errors for finding a common fixed point of two quasi- nonexpansive multi-valued ... See full document

... for nonself-mappings defined on a closed subset of complete metrically convex metric spaces satisfying Kannan-type mappings [10] which have been currently generalized by ... See full document