[PDF] Top 20 On some fixed points properties and convergence theorems for a Banach operator in hyperbolic spaces

... the fixed point for T even when the existence of the fixed point is ...approximate fixed points of nonexpansive mappings and other mappings more general than nonexpansive ...others, ... See full document

... study some fixed points properties and demiclose- ness principle for generalized α-nonexpansive mapping in uniformly convex hyperbolic spaces introduced by Kohlenbach [15], and ... See full document

... strong convergence theorem. Theorem 2.2. Let E be a real uniformly convex Banach space, let K be a nonempty closed convex subset of E, let T : K → K be a nonexpansive mapping with nonempty fixed ... See full document

... provided that the intersection of any finite subfamily has a nonempty intersection. Such intersection property is known as property (R). This intersection property is par- allel to the well-known fact that uniformly ... See full document

... of convergence in a general metric space set- ting which he called ...CAT() spaces and showed that many Banach space results involving weak con- vergence have precise analogs in this ... 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

... finding fixed points of relatively nonexpansive mappings in Banach spaces, and then prove weak and strong convergence theorems by using the notion of generalized ... See full document

... the convergence problems of an implicit or nonimplicit iterative process to a common fixed point,a finite family of nonexpansive mappings and its extensions in Hilbert spaces or Banach ... See full document

... of fixed points by doubly Mann iteration process began by Moore see ...obtained some fixed point theorems for some different classes of ...smooth Banach spaces: one ... See full document

... a Banach space (X, k · k), and let T : K → K be a nonexpansive mapping or a generalized nonexpansive ...a fixed point for T has been investigated, and some fixed point theorems and ... See full document

... point theorems have been extended to cone metric spaces in [, ...extended some of well known results in the fixed point theory to cone Banach spaces which were defined and used in [] ... See full document

... Jx f ∗ ∈ E ∗ : x, f ∗ x 2 , f x , ∀x ∈ E, 1.1 where E ∗ denotes the dual space of E and ·, · denotes the generalized duality pairing. We assume that C is a nonempty closed convex subset of E and T : C → C a mapping. A ... See full document

... Let C be a nonempty closed and convex subset of E. Throughout this paper, S will always denote a semigroup with an identity e. S is called left reversible if any two right ideals in S have nonvoid intersection, that is, ... See full document

... As we all know that if C is a nonempty closed convex subset of a Hilbert space H and P C : H → C is the metric projection of H onto C, then P C is nonexpansive. This fact actually characterizes Hilbert spaces and ... See full document

... for all x, y ∈ C. We denote by F(T) the set of fixed points of T . We know F(T) = ∅ in the case that E is uniformly convex and C is bounded; see Browder [2], G¨ohde [9], and Kirk [13]. Common fixed ... See full document

... strong convergence theorem for common fixed points of the multistep iterative scheme with errors for asymptotically nonexpansive mappings in the intermediate sense in a uniformly convex Banach ... See full document

... prove some strong convergence theorems for these mappings. Some application of our results to convex feasibility problem is also ...reflexive Banach space ... See full document

... of fixed points of nonexpansive mappings is an important subject in the theory of nonexpansive mappings and its applications in a number of applied areas, in particular, in image recovery and signal ... See full document

... We introduce two iterative algorithms for nonexpansive mappings in Hilbert spaces. We prove that the proposed algorithms strongly converge to a fixed point of a nonexpansive mapping T . Copyright q 2009 ... See full document

... The purpose of this paper is to extend Theorem . to countably many numbers of single-valued nonexpansive mappings on strictly convex Banach spaces, thereby the re- sult in Theorem . is covered. The ... See full document