[PDF] Top 20 Fixed point approximation of asymptotically nonexpansive mappings in hyperbolic spaces

... the hyperbolic space X is convex if W (x, y, α) ∈ C for all x, y ∈ C and α ∈ ...Normed spaces and their subsets are linear hyperbolic spaces while Hadamard manifolds [], the Hilbert open ... See full document

... total asymptotically nonexpansive mappings and to prove some -convergence theorems of the mixed type iteration process to approximating a common fixed point for two asymptotically ... See full document

... approximate fixed point sequence in a uniformly convex metric space; therefore accumulating this information authors have worked on hyperbolic spaces; (see for example, [10, 13, 14, 20, 21, ... See full document

... Then F(T ) = {  } = φ and T is quasi-nonexpansive, but T does not satisfy condition (C). In [], Suzuki proved the existence of the fixed point and convergence theorems for map- pings satisfying condition ... See full document

... Kalsoom, Fixed point approximation of asymptotically nonexpansive mappings in hyperbolic spaces, Fixed Point Theory and Applications, 2014: 33, ... See full document

... A geodesic segment joining two points x, y in a geodesic space X is represented by [x, y]. Every point z in the segment is represented by αx ⊕ ( – α)y where α ∈ [, ], that is, [x, y] := { αx ⊕ ( – α)y : α ∈ ... See full document

... Theorem  can be viewed as a improvement and extension of several well-known results in Banach spaces and CAT() spaces, such as [] and []. Our purpose of this paper is to extend Theorem  from the ... See full document

... In 1976, Lim [7] introduced a concept of convergence in a general metric space set- ting which he called “Δ-convergence.” In 2008, Kirk and Panyanak [8] specialized Lim’s concept to CAT(0) spaces and showed that ... See full document

... on fixed point problems for mean nonexpansive mappings in hyperbolic ...on fixed point problems for mean nonexpansive mappings from uniformly convex Banach ... See full document

... common point between ψ -firmly nonexpansive mapping and the above three mappings is that they all include a firmly nonexpansive mapping in Hilbert spaces as a special ...-firmly ... See full document

... CAT() spaces are uniformly ...unique point λx ⊕ ( – λ)y ∈ [x, y] such that d(x, λx ⊕ ( – λ)y) = ( – λ)d(x, y), d(y, λx ⊕ ( – λ)y) = λd(x, y) and the following inequality ... See full document

... fixed point problems, we have the purpose in this article to con- sider and study the split common fixed point problem for a τ -quasi-strict pseudocon- tractive mapping and asymptotical nonexpansive ... See full document

... fixed point for generalized asymptotically quasi-nonexpansive mappings in real Banach spaces and give the necessary and sufficient condition for convergence of three-step iterative ... See full document

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

... The purpose of this paper is to study sufficient and necessary conditions for finite- step iterative sequences with mean errors for a finite family of asymptotically quasi- nonexpansive-type mappings ... See full document

... quasi-nonexpansive mappings i.e., mappings for which its fixed points are centers with nonempty fixed point sets in CAT 0 spaces and dropping the condition given by ... See full document

... a fixed point in U or there is a point u Î ∂U and l Î (0,1) with u = l F(u); here U and ∂ U denote the closure of U in C and the boundary of U in C, ... See full document

... fixed point property (CFP) if either t has no fixed points, or t has a fixed point in each nonempty bounded closed convex set that leaves t ...fixed point property for nonexpansive mappings ... See full document

... a strongly continuous semigroup of nonexpansive mappings from C into itself such that Fix(S) = ∅. Let f : C – → C be a contraction mapping with a constant α ∈ (, ) and A : C – → C be a strongly positive ... See full document

... Recall that a point x ¯ ∈ K is said to be a fixed point of T if T(¯ x) = x. We denote the set of ¯ fixed points of T by F(T ), i.e., F(T ) := {¯ x ∈ K : T x ¯ = x}. Therefore, finding a solution to ¯ the split ... See full document