[PDF] Top 20 A unified extragradient method for systems of hierarchical variational inequalities in a Hilbert space

... many variational inclusions and the solution set of a variational inequality problem (VIP), which is just a unique solution of a system of hierarchical variational inequalities (SHVI) ... See full document

... descent extragradient algorithm and another multi-step composite Mann-type viscosity iterative algorithm for finding a solution of triple hierarchical variational inequalities de- fined over the ... See full document

... variant extragradient-type method for solving monotone variational ...the method is presented under reasonable assumptions on the problem data in the infinite-dimensional Hilbert ... See full document

... An hierarchical circularly iterative method is introduced for solving a system of variational circularly inequalities with set of fixed points of strongly quasi-nonexpansive mapping problems ... See full document

... In , Nadezhkina and Takahashi [] also considered the extragradient method (.) for finding a common element of a fixed point of nonexpansive mapping and a set of solu- tions of variational ... See full document

... Korpelevich’s extragradient method, the viscosity approximation method, the hybrid steepest-descent method, Mann’s iteration method, and the gradient-projection method (GPM) with ... See full document

... the extragradient method, for solving the VIP (1) in Euclidean space R n ...tragradient method has received great attention given by many authors, who improved it in various ways; see ... See full document

... hybrid extragradient viscosity iterative algorithm for finding a common element of the set of solutions of a general mixed equilibrium problem, the set of solutions of a general system of variational ... See full document

... Let C be a nonempty closed convex subset of a real Hilbert space H. A mapping f : C → C is called a ρ-contraction if there exists a constant ρ ∈ (, ) such that f (x) – f (y) ≤ x – y for all x, y ∈ C. A ... See full document

... the extragradient method proposed by Korpelevich [] in theory, there is still the need to calculate two projections onto the feasible set C and onto a related set C ∩ H k at each ... See full document

... iterative method for the approximation of fixed points of asymptotically nonex- pansive mappings was developed by Schu ...a Hilbert space and studied the weak and strong convergence theorems for this ... See full document

... On the other hand, let F : H → H be a κ-Lipschitzian and η-strongly monotone operator with constants κ, η > 0, and let T : H → H be nonexpansive such that FixT / ∅. In 2001, Yamada 6 introduced the so-called hybrid ... See full document

... hybrid extragradient iterative method for finding a common element of the set of points satisfying the Ky Fan inequalities, variational inequality and the set of fixed points of a strict ... See full document

... extragradient method. It is shown that the net defined by this implicit extragradient method converges strongly to the unique solution of HVIC, A, f in Hilbert ...the variational ... See full document

... extra-gradient method for generalized variational inequalities with multi-valued mapping in an infinite-dimensional Hilbert ...this method, the generated sequence possesses an expansion ... See full document

... of Hilbert space, a modified subgradient extragradient method is proposed for solving Lipschitz-continuous and monotone variational inequalities defined on a level set of a convex ... See full document

... Inspired and motivated by the recent research going on in this area, in this paper, we consider the existence theorem and a method for finding solutions for the systems of nonlinear general set-valued mixed ... See full document

... many variational inequalities mappings and the set of fixed points of an asymptotically k-strict pseudocontractive mapping in the intermediate sense [] in a real Hilbert ... See full document

... relaxed extragradient method and viscosity approximation method, Yao et ...of variational inequalities and the fixed-point set of a strictly pseudocontractive mapping in a real ... See full document

... classical variational inequality problem ...hybrid extragradient method for finding a common element of the solution set of a variational inequality problem, the solution set of problem ... See full document