[PDF] Top 20 A General Iterative Method for Solving the Variational Inequality Problem and Fixed Point Problem of an Infinite Family of Nonexpansive Mappings in Hilbert Spaces

... for nonexpansive mappings have recently been applied to solve convex minimization problems; see, for example, 5–8 and the references ...typical problem is to minimize a quadratic function over the ... See full document

... an iterative algorithm for finding a common element of the set of solutions of an infinite family of equilibrium problems and the set of fixed points of a finite family of ... See full document

... an iterative method of finding the best approximation to the initial data when EPΘ is nonempty and proved a strong convergence ...an iterative scheme by the viscosity approximation method for ... See full document

... be nonexpansive such that FixT / ...descent method for solving the variational inequality problem: finding x ∈ FixT such ... See full document

... new general iterative algorithm for an infinite family of nonexpansive operators in Hilbert ...the iterative algorithm converges strongly to a common point of the sets of ... See full document

... an iterative method to approximate solutions of a hierarchical fixed point problem and a variational inequality problem involving a finite family of ... See full document

... the general iterative method ...of nonexpansive mappings, Shehu [] proposed an iterative method for nonexpansive semi- groups, variational inclusions, and ... See full document

... 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

... following iterative algorithm, which is known as the shrinking projection method, for finding a fixed point of a nonexpansive single-valued mapping in Hilbert ...projection method ... 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 ... See full document

... 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

... directed mappings or demicontractive mappings to the demicontractive map- ...for solving the split common fixed point problem ... See full document

... of Hilbert spaces and has found applications in areas such as image restoration, computer tomography, radiation therapy treatment planning (see ...feasibility problem in real Banach spaces ... See full document

... the general iterative scheme for finding a common element of the set of equilibrium problems and fixed point problems of a countable family of nonexpansive mappings in ... See full document

... fixed point of a set of fixed points of continuous pseudo-contractive mappings more general than nonexpansive mappings and a solution set of the variational inequality ... 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

... Corollary 4.1. Let H 1 , H 2 and H 3 be real Hilbert spaces and C ⊂ H 1 , Q ⊂ H 2 be nonempty, closed and convex sets. Let A : H 1 → H 3 , B : H 2 → H 3 be bounded linear operators with their adjoint ... See full document

... Corollary . Let C be a nonempty closed convex subset of H , S : C → C be a nonexpansive mapping with a nonempty fixed point set, and A : C → H be a L-Lipschitz continuous and monotone mapping. Let F be a ... See full document

... extragradient method for fixed point problems and variational inequality problems,” Journal of Inequalities and Applications, ...equilibrium problem with a relaxed monotone ... See full document

... real Hilbert space, and let C be a nonempty closed convex subset of ...called nonexpansive if Tx − Ty ≤ x − y for all x, y ∈ C. A point x ∈ C is called a fixed point of T provided that ... See full document