[PDF] Top 20 A general iterative algorithm for an infinite family of nonexpansive operators in Hilbert spaces

... that iterative methods for nonexpansive operators have been used to solve convex minimization problems; see, ...a nonexpansive operator T on a real Hilbert space ... See full document

... finite family of equilibrium problems and few of authors investigate the infinite family of equilibrium problems in a Hilbert space or Banach ...new iterative scheme for obtaining a ... See full document

... an iterative scheme by the viscosity approximation method for finding a common element of the set of solutions ...a nonexpansive mapping in Hilbert ... See full document

... an infinite dimensional Hilbert or Banach spaces, there exist several iterative algorithms to nonexpansive mappings ...iteration algorithm [7], Hybrid projection algorithm ... See full document

... new iterative scheme for finding a common solution to a variational inclusion problem with a finite family of accretive operators and a modified system of variational inequalities in infinite-dimensional ... See full document

... a general iterative algorithm, we study the problem of approx- imating a common element in the common fixed point set of an infinite family of non- expansive mappings, in the solution set of a ... See full document

... Corollary . Let C be a nonempty closed convex subset of H. Let f : C → C be a κ - contraction and let T : C → H be a τ -inverse-strongly monotone mapping. Let A : C → H be an α-inverse-strongly monotone mapping and let ... 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

... finite family of nonexpansive mappings has been considered by many authors see 17–20 and the references ...a family of nonexpansive mappings see 21, ...a family of nonexpansive ... See full document

... Zembayashi, “Strong and weak convergence theorems for equilibrium problems and relatively nonexpansive mappings in Banach spaces,” Nonlinear Analysis: Theory, Methods & Applications [r] ... See full document

... a general iterative method for finding the solution of the variational inequality problem over the fixed point set of a nonexpansive semigroup in a Hilbert ... See full document

... new general iterative method by using the K-mapping for finding a common fixed point of a finite family of nonexpansive mappings in the framework of Hilbert ...purposed iterative ... See full document

... a Hilbert space H , let B, G be two set-valued maximal monotone operators on C into H , and let g : H → H be a k-contraction with 0 < k < ...a general iterative scheme for approximating ... See full document

... of Hilbert spaces and has found applications in areas such as image restoration, computer tomography, radiation therapy treatment planning (see ...Banach spaces more general than Hilber space ... See full document

... Let K be a nonempty closed convex subset of a uniformly convex Banach space E. Let S : K→K be a nonexpansive mapping and let T : K→K be an asymptotically nonexpansive mapping. In 10, the authors introduced ... See full document

... 25 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 Feasibility and ... See full document

... Remark 2.6. Lemma 2.5 still holds if A is a strongly positive linear bounded operator see 8, Lemma 2.5. That is, Lemma 2.5 in this section and Lemma 2.5 in 8 both hold when A is a strongly monotone linear bounded ... See full document

... There is no doubt that fixed point theory for nonexpansive mappings is one of the central topics in modern analysis. Actually, since [, , ], such a theory has had (and contin- ues to have) a strong development, ... See full document

... finite family of asymptotically quasi-nonexpansive maps on: i uniformly convex Banach spaces 5, 14, 15, ii convex metric spaces 13, iii CAT0 spaces 12 are immediate consequences of our ... See full document

... an iterative sequence and prove a weak convergence theorem for finding a solution of a system of mixed equilibrium problems and the set of fixed points of a quasi-nonexpansive mapping in Hilbert ... See full document