[PDF] Top 20 Convergence to common solutions of various problems for nonexpansive mappings in Hilbert spaces

... strong convergence of hybrid viscosity approximation scheme ...a common element of the set of solutions of a mixed equilibrium problem, the set of fixed points of an infinite family of ... See full document

... Strong convergence theorems by hybrid projection methods for equilibrium problems and fixed point problems of the asymptotically quasi- φ -nonexpansive ...strongly nonexpansive sequence ... See full document

... strongly to the common fixed point q ∈ F(T). The proof is completed. For studying the strong convergence of fixed points of a nonexpansive mapping, Sen- ter and Dotson [9] introduced Condition (A). ... See full document

... Tx–Ty ≤ x –y for any x, y ∈ C. A mapping T : C → C is said to be quasi-nonexpansive if Tx – p ≤ x – p for any x ∈ C and p ∈ F(T ), where F(T) is the set of fixed points of T . A mapping T : C → C is called ... See full document

... strong convergence theorems by the new hybrid methods for a family of nonexpansive mappings and nonexpansive semigroups in Hilbert ... See full document

... many problems such as split feasibility problem, split equality problem, split equilibrium problem, and so ...weak convergence theorems for split equality generalized mixed equilibrium problem for ... See full document

... The purpose of this article is to introduce two iterative algorithms for finding the least norm fixed point of nonexpansive mappings. We provide two algorithms, one implicit and another explicit, from which ... See full document

... The convergence analysis of a variable KM-like method for approximating common fixed points of a possibly infinitely countable family of nonexpansive mappings in a Hilbert space is ... See full document

... a common fixed point of a semigroup of non-expansive mappings in a Hilbert space, with respect to a sequence of left regular means defined on an appropriate space of bounded real-valued functions of ... See full document

... finite-dimensional spaces was first introduced by Censor and Elfving [] for modeling inverse problems which arise from phase retrievals and in medical image reconstruction ...in various disciplines ... See full document

... 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 convergence theorem in Hilbert ... See full document

... 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 inverse-strongly mapping, which ... See full document

... for nonexpansive mappings have recently been applied to solve convex minimization problems; see, for example, 9–11 and the references ...real Hilbert space, whose inner product and norm are ... See full document

... a common solution problem is investigated based on a projection ...Strong convergence theorems for common solutions of a system of equilibrium problems and a family of asymptotically ... See full document

... for nonexpansive mappings (CFPP) if every nonexpansive t : E → E satisfies ...of nonexpansive mappings, the following is a remarkable common fixed point property due to Bruck ... See full document

... Let H be a real Hilbert space, C a nonempty closed convex subset of H, and T : C → C a mapping. Recall that T is nonexpansive if Tx − T y ≤ x − y for all x, y ∈ C. A point x ∈ C is called a fixed point of T ... See full document

... a Hilbert space, C a nonempty closed convex subset of H , P the met- ric projection of H onto C, and T : C → H a nonexpansive nonself-mapping with F(T) = ∅ ... See full document

... a common solution of certain class of multiple–sets split variational inequality ...in Hilbert spaces. As application, we obtain some strong convergence results for some classes of ... See full document

... and nonnegative real numbers, respectively. let C be a closed convex subset of a Hilbert space H , and Let T : C → C be a nonexpansive mapping (i.e., Tx − T y ≤ x − y for all x, y ∈ C). We use Fix(T ) to ... See full document

... Remark 2.5. If we set β n = 1 for all n, then z n = y n and y n = α n x n + (1 − α n )T n y n , the itera- tion scheme (1.12) becomes modified implicit iteration scheme, so we, from Theorem 2.4, obtain the ... See full document