[PDF] Top 20 Fixed points of nonself total asymptotically nonexpansive mappings in hyperbolic spaces

... in hyperbolic spaces introduced by Kohlenbach ...Kohlenbach hyperbolic space [34] is more restrictive than the hyperbolic space introduced in [17] and more general than the concept of ... See full document

... W-hyperbolic spaces which are a natural generalization of both uniformly convex normed spaces and CAT(0) ...of fixed points and demiclosed principle for mappings of ... See full document

... a hyperbolic space X is convex if W (x, y, α ) ∈ X(∀x, y ∈ X ) and α ∈ ...of hyperbolic spaces contains normed spaces and convex subsets thereof, the Hilbert ball equipped with the ... See full document

... of nonexpansive self mappings, the class of asymptotically nonexpansive self mappings was introduced by Goebel and Kirk [3] whereas the concept of asymptotically ... See full document

... In this paper, we define and study the convergence theorems of a new two-steps iterative scheme for two total asymptotically nonexpansive nonself-mappings in Banach spaces. The ... See full document

... nonexpansive mappings include properly the class of nonexpansive mappings in locally convex spaces, prove a theorem on the existence of fixed points, and the convergence of the sequence [r] ... See full document

... of hyperbolic spaces introduced by Kohlenbach [], which is more restrictive than the hyperbolic space introduced in Goebel and Kirk [] and more general than the hyperbolic space in Reich and ... See full document

... linear spaces or Banach spaces ma- jorly depends on the linear structure of the underlying ...of hyperbolic spaces, nonlinear in nature, is a general abstract theoretic setting with rich ge- ... 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

... a fixed point result for a total asymptotically nonexpansive mapping along with the iterative construction of common fixed point of a finite family of these mappings in uniformly ... See full document

... nonexpansive mapping. By using the iteration process (.) and Panyanak’s fixed point result (Theorem .), they proved -convergence and strong convergence theorems for total asymptotically ... See full document

... common fixed points of a family of generalized asymptotically quasi- j -nonexpansive mappings are established in the framework of Banach ... See full document

... generalized asymptotically quasi- nonexpansive mappings in a hyperbolic space and study its strong ...in hyperbolic spaces and generalize many known results in Banach ... See full document

... defined hyperbolic space by (X, d, W); if it satisfies only (i), then it is said to be the convex metric space introduced by Takahashi ...a hyperbolic space X is convex if W (x, y, λ) ∈ K for all x, y ∈ X and ... 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

... The following iteration process is a translation of the mixed Agarwal-O’Regan-Sahu type iterative scheme introduced in [] from Banach spaces to hyperbolic spaces. The iteration rate of convergence ... See full document

... for total asymptotically nonexpansive nonself map- pings in hyperbolic spaces) Let (X, d, W ) be a complete uniformly convex hyperbolic space with monotone modulus of ... See full document

... of asymptotically nonexpansive mappings and study approxi- mating methods for finding their fixed ...normed spaces are presented. We also consider the asymptotically weakly ... See full document

... of total asymp- totically nonexpansive nonself mappings and prove the demiclosed principle for this kind of mappings in CAT() ...of total asymptotically ... See full document

... fixed points, the convexity and closedness of a fixed point set in CAT() spaces for total asymptotically nonexpansive nonself mappings which is essentially wider than that ... See full document