[PDF] Top 20 Some notes on fixed point sets in CAT(0) spaces

... a CAT(0) space if all geodesic triangles of appropriate size satisfy the following comparison axiom: “Let 4 be a geodesic triangle in X and let 4 be a comparison triangle for ...the CAT(0) ... See full document

... We prove the proposed sequences converge to a common fixed point of three families of mappings. Our result for the iteration process (.) is similar to (.) on complete CAT() spaces. Our results ... 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

... Let (X, d) be a metric space. A geodesic path joining x Î X to y Î X (or, more briefly, a geodesic from x to y) is a map c from a closed interval [0, ℓ ] ⊆ R to X such that c (0) = x , c ( ℓ ) = y , and d ( ... See full document

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

... strategy spaces in Theorem . are CAT() spaces which do not possess any linear ...dimensional spaces, Lu [] analyzed the phenomena for the water resources utilizing conflicts among the ... See full document

... a CAT() space if it is geodesically connected and every geodesic triangle in X is at least as thin as its comparison triangle in the Euclidean ...a CAT() space. Other examples are pre-Hilbert ... See full document

... Fixed point theory in a CAT0 space was first studied by Kirk see 6, ...a fixed point. Since then the fixed point theory for single-valued and multivalued mappings in CAT0 ... See full document

... Abstract. The aim of this paper is to study the strong convergence of mod- ified S-iteration process for Ciric quasi contractive operator in the framework of CAT(0) spaces. Also we give an ... See full document

... Now we give a sufficient condition under which the b–metric is continuous in a b–metric space. Proposition 1.2. Let (X, D) be a b–metric space. If there exist a metric d on X and a continuous function ϕ : [0, +∞) ... See full document

... nonempty bounded, closed and convex subset of a uniformly convex Banach space has been recently established by Aoyama and Kohsaka with a non-constructive argument. In this paper, we show that appropriate Ishikawa iterate ... See full document

... proximal point algorithm with the process for three asymptotically nonexpansive mappings and multival- ued mappings in CAT(0) ...prove some convergence theorems of the proposed ... See full document

... s fixed point theorem in CAT(0) spaces ...complete CAT(0) space E with con- vex hull finite property and G : X ® E is a continuous map and for every x Î X with x ≠ ... See full document

... the CAT() spaces are uniformly ...a CAT() space if and only if it satisfies the (CN) ...unique point λx ⊕ ( – λ)y ∈ [x, y] such that d(x, λx ⊕ ( – λ)y) = ( – λ)d(x, y), d(y, λx ⊕ ( – λ)y) ... See full document

... 1. [[3], Proposition 2.4] Let K be a convex subset of X which is complete in the induced metric. Then for every x Î X, there exists a unique point P(x) Î K such that d(x, P(x)) = inf{d(x, y): y Î K}. Moreover, the ... See full document

... Fixed point theory in CAT(0) spaces was first studied by Kirk; see [5,6] and the references ...complete CAT(0) space always has a fixed ...the fixed ... See full document

... proving fixed point theorems for T-Kannan, T- Zamfirescu and T-weakly contraction ...of fixed point for T-Zamfirescu operators in complete metric spaces and proved a convergence theorem ... See full document

... We give a theorem for nonconvex topological vector spaces which yields the classical fixed point theorems of Ky Fan, Kim, Kaczynski, Kelly and Namioka as immediate consequences, and prov[r] ... See full document

... Jungck, Common fixed point results for non commuting mappings without continuity in cone metric space, J. Hamlbarani, Some notes on the paper “Cone metric spaces and fixed point theorems [r] ... See full document

... a fixed point in every nonempty closed convex subset of C which is invariant under T and if C is convex and weakly compact, then Fix T {x ∈ C : Tx x}, the set of fixed points, is nonexpansive retract ... See full document