[PDF] Top 20 A new explicit iteration method for variational inequalities on the set of common fixed points for a finite family of nonexpansive mappings

... a new explicit iteration method based on the steepest descent method and Krasnoselskii-Mann type method for finding a solution of a variational inequality involving a ... See full document

... a new iteration method based on the hybrid steepest descent method and Ishikawa-type method for seeking a solution of a variational inequality involving a Lipschitz continuous ... See full document

... We introduce a new implicit iteration method for finding a solution for a variational inequality involving Lipschitz continuous and strongly monotone mapping over the set of common fixed[r] ... See full document

... a new explicit iterative algorithm for finding a solution for a class of variational inequalities over the common fixed points set of a finite family of ... See full document

... Theorem 1.2 (see [9, Theorem 5]). Let E be a uniformly convex Banach space whose norm is uniformly Gˆateaux differentiable and let C be a closed convex subset of E. Let S, T be nonexpansive mappings of C ... See full document

... of variational inequality and the set of common fixed points of a countable family of nonexpansive mappings is introduced and ...a common fixed point ... See full document

... a common element of the set of common fixed points of a family of infinitely nonexpansive mappings, and the set of solutions of the variational ... See full document

... a new iterative scheme of approximating a common element of the set of solutions to mixed equilibrium problem and set of common fixed points of finite family ... See full document

... a new iterative scheme for finding a common element in the set of common fixed points of a finite family of quasi-φ-nonexpansive mappings, the ... See full document

... implicit method for finding a common element of the set of solutions of systems of equilibrium problems and the set of common fixed points of a sequence of ... See full document

... a new iterative scheme (3.1) below which converges strongly to common element of the set of fixed points of continuous pseudo-contractive mappings which more general than ... See full document

... A new approximation method for solving variational inequalities and fixed points of nonexpansive mappings is introduced and ...the new iterative scheme to a ... See full document

... 5. Yamada, I: The hybrid steepest descent method for the variational inequality problem over the intersection of fixed point sets of nonexpansive mappings. In: Reich, S, Censor, Y, ... See full document

... the nonexpansive retraction of X onto C, T : C → X a given ...be nonexpansive if kT x − T yk ≤ kx − yk for all x, y ∈ C. The fixed point set of T denoted by F (T ) such that F (T ) = {x ∈ C : ... See full document

... extragradient method and the viscosity approximation method, Ceng et ...and explicit iterative schemes for computing a common element of the set of fixed points of a ... See full document

... iterative method for the family of mappings and prove the strong convergence of the new iterative scheme in Banach ...The new iterative method includes the iterative scheme of ... See full document

... a new iterative scheme based on the extragradient-like method for finding a common element of the set of common fixed points of a finite family of nonexpansive ... See full document

... a new explicit iteration scheme with perturbed map- ping for approximation of common fixed points of a finite family of nonexpansive self- mappings of ... See full document

... the set of solutions of MEP by ...include fixed- point problems, optimization problems, variational inequality problems, Nash equilibrium problems, and the equilibrium problems as special cases see, ... See full document

... Mann iteration scheme for approximation of fixed points of asymptotically nonexpansive self-mappings defined on a nonempty closed convex and bounded subset K of a uniformly convex real ... See full document