[PDF] Top 20 Approximation of fixed points for nonexpansive semigroups in Hilbert spaces

... fixed points of nonexpansive mappings by a sequence of finite means has been considered by many authors; see, for instance, ...a Hilbert space and T is a nonexpansive mapping from C into itself ... See full document

... tive (respectively, pseudocontractive) mapping S of Chidume et al. [] without the condi- tion that the fixed point set of S is strict in a real Hilbert space. It is also proved that, under this condition, I – S is ... See full document

... for nonexpansive mappings, nonexpansive semigroup, and pseudocontractive semigroup in Banach spaces see, ...a nonexpansive mapping, and A be a strongly positive and linear bounded operator ... See full document

... Alber and Guerre-Delabriere 1 defined the weakly contractive maps in Hilbert spaces, and Rhoades 2 showed that the result of 1 is also valid in the complete metric spaces as follows. Definition 1.1. ... See full document

... real Hilbert space with norm · and inner product · , · ...all fixed points of T by F(T), that is, F(T ) = { x ∈ C : x = Tx } ...be nonexpansive mapping ... See full document

... stochastic approximation for finding fixed points of weakly contractive and nonexpan- sive operators in Hilbert spaces under the condition that operators are given with random ... See full document

... pre-Hilbert spaces, R-trees (see []), Euclidean buildings (see []), the complex Hilbert ball with a hyperbolic metric (see []), and many ...CAT() spaces are often called Hadamard ... See full document

... iterative approximation of fixed points of nonexpansive mappings using a hybrid iteration method in Hilbert spaces can be extended to arbitrary Banach spaces without the ... See full document

... a Hilbert space E. A mapping T on C is called a nonexpansive mapping if Tx − Ty ≤ x − y for all x, y ∈ ...of fixed points of T ...Banach spaces with normal ... See full document

... On the other hand, Moudafi 3 introduced the viscosity approximation method for nonexpansive mappings see 4 for further developments in both Hilbert and Banach spaces. Let f be a contraction on ... See full document

... relatively nonexpansive mapping which is distinct from Bregman relatively nonexpansive ...find fixed points of weak Bregman relatively nonexpansive mappings and Bregman relatively ... See full document

... Chen, “Iterative approximation to common fixed points of nonexpansive mapping se- quences in reflexive Banach spaces,” Nonlinear Analysis: Theory, Methods & Applications , vol. Khan,[r] ... See full document

... totically nonexpansive semigroup on a nonempty compact convex subset C of a Banach space E into ...is nonexpansive and Fix(ϕ) = ∅ ...sunny nonexpansive retract of C and the sunny nonexpansive ... See full document

... Let K be a nonempty proper subset of a real Banach space E. A map A : K → K is called a strict contraction if there exists k ∈ [, ) such that Ax –Ay ≤ k x –y for all x, y ∈ K, and A is called nonexpansive if, ... See full document

... fixed points for asymptotic pointwise contractions and asymptotic pointwise nonexpansive mappings in Banach spaces, while Hussain and Khamsi [] extended this result to metric spaces, and ... See full document

... Banach spaces without assuming any of the following conditions: i E satisfies the Opial’s condition; ii T is asymptotically regular or weakly asymptotically regular; iii K is ... See full document

... continuous semigroups of 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 ... See full document

... be nonexpansive if Tx − Ty ≤ x − y for each x, y ∈ ...of fixed points of ...a nonexpansive semigroup on E if it satisfies the following ... See full document

... viscosity approximation methods for two one-parameter continuous semi- groups of nonexpansive mappings in CAT() ...fixed points of the two semigroups of nonexpansive ... 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 ∈ X, which we will be denoted by [x, y], and called the segment joining ... See full document