[PDF] Top 20 Iterative algorithms for a system of generalized variational inequalities in Hilbert spaces

... Iterative algorithms have played a central role in the approximation solvability, espe- cially of nonlinear variational inequalities as well as of nonlinear equations, in several fields such as ... See full document

... of variational inequalities which were difference from the sense of Pang [18] and developed some iterative algorithms for approximating the solutions of these systems in Hilbert ... See full document

... Abstract. In this paper, fixed point problems of nonexpansive mappings and solution problems of generalized variational inequalities are investigated based on a viscosity approximate iterative ... See full document

... the generalized f-projection operator and proposed iterative method of approximating solutions for a class of generalized variational inequalities in Banach ...the generalized ... See full document

... ative algorithms and two explicit iterative algorithms by hybrid viscosity approximation methods for finding a common element of the set of solutions of GSVI ...Banach spaces and inequality ... See full document

... new iterative algorithms for finding a common element of the set of solutions of a general system of nonlinear variational inequalities with perturbed mappings and the set of common ... See full document

... new iterative schemes based on the Wiener-Hopf equation technique and auxiliary principle for finding common elements of the set of solutions of equilibrium problems, the set of fixed points of a nonexpansive ... See full document

... many iterative methods for solving the variational inequality ...the generalized projection operator in uniformly convex and uniformly smooth Ba- nach spaces, Li [1] established the ... See full document

... a variational inequality with a variational inequality constraint over the intersection of Fix(T), MEP( Θ , ϕ ), and Γ ...hybrid iterative algorithm with regularization to compute approximate ... See full document

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

... which was defined by Verma [22] (see also [21]) and it is called a new system of var- iational inequalities. Further, if x* = y* additionally, then problem (1.3) reduces to the classical variational ... 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 (Haifa, ... See full document

... 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

... a system of mixed equilibrium problem, quasivariational inclusion problem, and fixed point problem of nonexpansive semigroup,” Journal of Inequalities and Applications, ...“Iterative ... 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

... Variational inequalities are one of the most interesting and intensively studied classes of mathematical problems and there exists a considerable amount of literature [–] on the approximate solvability ... See full document

... Lemma 2.5 [36]. Let X and Y be two topological spaces. Suppose that T : X → 2 Y and K : X → 2 Y are set-valued mappings having open lower sections, then (i) the set-valued mapping F : X → 2 Y defined by F(x) = ... See full document

... In this paper, we present a new type of extra-gradient method for generalized variational inequalities with multi-valued mapping in an infinite-dimensional Hilbert space. For this method, the ... See full document

... Recently, Iemoto and Takahashi considered a weak convergence iterative scheme for a nonspreading mapping and a nonexpansive mapping in Hilbert spaces.. In this paper, we suggest two hybr[r] ... See full document

... and generalized projection operators in Banach spaces: properties and applications,” in Theory and Applications of Nonlinear Operators of Accretive and Monotone Type, ... See full document