[PDF] Top 20 Strong Convergence of Two Iterative Algorithms for Nonexpansive Mappings in Hilbert Spaces

... In order to prove our main results, we need the following well-known lemmas. Lemma 2.1 see 22, Demiclosed principle. Let C be a nonempty closed convex of a real Hilbert space H. Let T : C → C be a ... See full document

... the strong convergence theorem for the iterative scheme for finding a common element of the fixed-point set of a quasi-nonexpansive mapping and the zero set of the sums of maximal monotone ... 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 the ... See full document

... 5 I. Yamada, “The hybrid steepest descent method for the variational inequality problem over the intersection of fixed point sets of nonexpansive mappings,” in Inherently Parallel Algorithms in ... See full document

... introduce two iterative algorithms for finding the least norm fixed point of nonexpansive ...provide two algorithms, one implicit and another explicit, from which strong ... 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

... 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 hybrid method in the mathematical ...a convergence theorem by the new iterative method ... See full document

... Let H be a real Hilbert space and let C be a nonempty closed convex subset of H. Recall that a mapping T : C → C is said to be nonexpansive if Tx−Ty ≤ x−y, for all x, y ∈ C. We use FT to denote the set of ... See full document

... Inspired by Bauschke and Combettes 1 and Takahashi et al. 4, we present a shrinking projection method for the class of T mappings. Furthermore, we obtain a shrinking projection method for a nonexpansive ... See full document

... obtain strong and weak convergence theorems for split equality generalized mixed equilibrium problem for nonexpansive mappings in Hilbert ... See full document

... relatively nonexpansive mappings in Banach ...and strong convergence theorems to approximate a fixed point of a single relatively nonexpansive ...the strong convergence of ... See full document

... for nonexpansive and asymptotically nonexpansive mappings have been studied extensively by many authors to solve nonlinear operator equations as well as variational inequalities ...many strong ... See full document

... above iterative scheme converges strongly to a common element of the set of common fixed points of an infinite nonexpansive mappings and the set of solutions of the variational inequalities for an ... See full document

... Abstract In this paper, we establish strong convergence for the iterative scheme introduced by Sahu and Petruşel associated with Lipschitzian hemicontractive mappings in Hilbert spaces.[r] ... 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

... for nonexpansive mappings have recently been applied to solve con- vex minimization problems (see, ...a nonexpansive mapping on a real Hilbert space H ... 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 mappings ... See full document

... general iterative scheme for approximating a point of F(T )∩ (A+B) –  ∩ G –  = ∅, where T is a λ-hybrid self-mapping on C, A : C → H is an α-inverse strongly monotone mapping and B and G are two maximal ... See full document

... the iterative scheme (1.1) to the iterative scheme of asymp- totically quasi-nonexpansive mappings with error ...the strong convergence of iterative scheme to a fixed ... See full document