[PDF] Top 20 General Iterative Algorithm for Nonexpansive Semigroups and Variational Inequalities in Hilbert Spaces

... the variational inequality problem over the intersection of fixed point sets of nonexpansive mappings,” in Inherently Parallel Algorithms in Feasibility and Optimization and Their Applications (Haifa, ... See full document

... a general iterative method for a split variational inclusion and nonexpansive semigroups in Hilbert ...proposed algorithm converge strongly to a common element of the set ... See full document

... one-parameter nonexpansive semigroup in a Banach space under some appropriate control ...the iterative scheme which solve some variational ...of variational inequalities for ... See full document

... for nonexpansive mappings have recently been applied to solve convex minimization problems; see, for example, 5–8 and the references ...a nonexpansive mapping on a real Hilbert ... See full document

... of iterative algorithms for nonexpansive mappings, nonexpansive semigroup, and pseudocontractive semigroup in Banach spaces see, ...a nonexpansive mapping, and A be a strongly positive ... See full document

... In this paper, we propose two new algorithms for finding a common fixed point of a nonexpansive semigroup in Hilbert spaces and prove some strong convergence theorems for nonexpansive ... See full document

... the variational inequality problem over the intersection of fixed point sets of nonexpansive mappings,” in Inherently Parallel Algorithms in Feasibility and Optimization and Their Applications, ... See full document

... the variational inequalities, we have the problem of finding the fixed points of the nonlinear mappings, which is the subject of current interest in functional ... See full document

... hand, iterative approximation methods for nonexpansive mappings have recently been applied to solve convex minimization problems; see, for example, 9–11 and the references ...real Hilbert space, ... See full document

... classical variational inequality (1.2) and fixed point problem of nonexpansive mappings have received rapid development, see, for example, [1-17] and the references ...approximation algorithm for ... 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

... new algorithm for a generalized system for relaxed cocoercive nonlinear inequalities involving three di ff erent operators in Hilbert spaces by the convergence of projection ... See full document

... Let H be a real Hilbert space with the inner product · , · and the norm · . Let C be a nonempty, closed and convex subset of H, and let T : C → C be a nonlinear mapping. Throughout this paper, we use F(T ) to ... See full document

... sunny nonexpansive retraction from C onto D if Q is a retraction from C onto D, which is also sunny and ...sunny nonexpansive retraction of C if there exists a sunny nonexpansive retraction from C ... See full document

... years, variational inequalities have made much de- velopments in the theory and applications, see, for example, [1, 3, 4, 6, 7, 8, 9] and the references ...varitional inequalities and ... See full document

... one-parameter nonexpansive semigroup and the set of solutions of a general system of nonlinear variational inequalities containing perturbed ... See full document

... Theorem 3.1. Let C be a nonempty closed convex subset of a real Hilbert space H. Let F : C → H be a κ-Lipschitzian and η-strongly monotone operator with constants κ, η > 0, V, T : C → C be nonexpansive ... See full document

... the variational inequality problem over the intersection of fixed point sets of nonexpansive mappings,” in Inherently Parallel Algorithms in Feasibility and Optimization and Their Applications, ... 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

... Variational inequalities are among the most interesting and intensively studied classes of mathematical problems and have wide applications in the fields of optimization and con- trol, economics, ... See full document