[PDF] Top 20 Strong Convergence of a Generalized Iterative Method for Semigroups of Nonexpansive Mappings in Hilbert Spaces

... Using the Hahn-Banach theorem, it is immediately clear that Jx / φ for each x ∈ E. The multivalued mapping J from E into E ∗ is said to be the normalized duality mapping. A Banach space E is said to be smooth if the ... See full document

... a strong convergence theorem for nonexpansive semigroups in Hilbert spaces by hybrid method in the mathematical ...a convergence theorem by the new iterative ... See full document

... of nonexpansive mapping T in Hilbert space. The strong and weak convergence theorems to a fixed point of T are ...for strong convergence of this iteration scheme are obtained, ... See full document

... projection method for the class of T ...projection method for a nonexpansive mapping on Hilbert spaces, which is the same as presented by Takahashi et ... See full document

... equality generalized mixed equilibrium problem, which is more general than many problems such as split feasibility problem, split equality problem, split equilibrium problem, and so ...obtain strong and ... See full document

... of strong convergence of the multi-step iterative algorithm with errors for a finite family of generalized asymptotically quasi-nonexpansive mappings to converge to common fixed ... See full document

... and strong convergence theorems of the iterative scheme () in CAT() spaces for generalized nonexpansive mappings enabling us to enlarge the class of underlying ... See full document

... extragradient method for fixed point problems and variational inequality problems,” Journal of Inequalities and Applications, ...“Strong convergence theorems for a generalized equilibrium ... See full document

... be nonexpansive if Tx − Ty ≤ x − y for each x, y ∈ ...of mappings of E into itself is called a nonexpansive semigroup on E if it satisfies the following ... See full document

... Halpern’s iterative sequence for finite nonexpansive mappings in Hilbert ...the strong convergence of the iterative scheme ...Banach spaces with the weak ... See full document

... a strong convergence theorem for nonexpansive semigroups in Hilbert spaces by hy- brid method in the mathematical ... See full document

... iteration method (1.3) so that strong convergence is guaranteed have recently been ...single nonexpansive mapping T in a Hilbert ... See full document

... new iterative scheme for finding a common ele- ment of the fixed-point set of a quasi-nonexpansive mapping and the zero set of the sums of maximal monotone operators, and we prove strong ... See full document

... a Hilbert space or Banach space. In this paper, we consider a new iterative scheme for obtaining a common element in the solution set of an infinite family of generalized equilibrium problems and in ... 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 ... See full document

... two iterative algorithms for finding the least norm fixed point of nonexpansive ...which strong convergence theorems are obtained in Hilbert ... See full document

... show strong convergence theorems of the CQ method for nonexpansive semigroups in Hilbert spaces by hybrid method in the mathematical ... See full document

... be nonexpansive if Tx – Ty ≤ x – y for all x, y ∈ C, and a mapping f : C → C is called a contraction if there exists a constant α ∈ (, ) such that f (x) – f (y) ≤ α x – y for all x, y ∈ ... See full document

... of nonexpansive mappings and gave some good strong convergence ...a Hilbert space H and let T : C → C be an asymptotically κ-strict pseudocontractions for some 0 ≤ κ < ... See full document

... J(x) = {f ∈ E ∗ : x, f = ||x|| · ||f ||, ||x|| = ||f ||}, x ∈ E. (1:1) Let T : C ® C be a mapping, We use F (T) to denote the set of fixed points of T. We also use “®” to stand for strong convergence and ... See full document