[PDF] Top 20 The subgradient double projection method for variational inequalities in a Hilbert space

... The variational inequality problem was first introduced by Hartman and Stampacchia [] in ...iterative projection-type algorithms have been proposed and analyzed for solving the variational inequality ... 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

... 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) in a ... See full document

... bilevel variational inequalities when the cost operator has some monotonicity (see [, ...auxiliary variational inequalities is ...gradient method in [] for solving ... See full document

... regularization method for seeking a solution to a class of monotone variational inequalities in a real Hilbert space, where the regularizer is a hemicontinuous and strongly monotone ... See full document

... Let H be a real Hilbert space whose inner product and norm are denoted by h·, ·i and k.k respectively. Let K be a nonempty closed convex set in H. The basic concepts and definitions used in this paper are ... See full document

... real Hilbert space, whose inner product and norm are denoted by h·, ·i and k · k, let I be the identity mapping on H , and T, g : H → H be two nonlinear ... See full document

... a Hilbert space, Isac and other authors have used the notion of “exceptional family of elements” (EFE) and the Leray- Schauder alternative theorem (see [5, ... See full document

... iterative method for finding the solution of the variational inequality problem over the fixed point set of a nonexpansive semigroup in a Hilbert ... See full document

... between Hilbert C ∗ -modules and Hilbert spaces, but there is a funda- mental way in which Hilbert C ∗ -modules differ from Hilbert ...a Hilbert space any closed and convex set ... See full document

... inertial subgradient–extragradient algorithms with a line-search process for solving the VIP with pseudomonotone and Lipschitz continuous mapping and the CFPP of finitely many nonexpansive mappings and a strictly ... 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

... Theorem 3.5. Let C be a closed convex subset of a real Hilbert space H . Let T : C → H be a relaxed (u, v)-cocoerceive and μ-Lipschitz continuous mapping and let S : C → C be a quasi-nonexpansive mapping. ... See full document

... extragradient-type method proposed in [5] is extended from Euclidean spaces to Banach ...a double projection method in Banach space is studied, and the global weak convergence is ... 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

... extragradient method incor- porated with the Armijo linesearch rule for solving the problem (FPSCSEP) in real Hilbert spaces under the assumptions that the first bifunction is pseudomonotone with respect to ... See full document

... linear variational inequalities and established strong convergence ...nonlinear variational inequalities involving two different nonlinear operators and estab- lished strong convergence ... See full document

... We next consider an iterative scheme of resolvents of a monotone operator which is dif- ferent type of Section , in a Banach space. Let C be a nonempty closed convex subset of a reflexive, smooth, and strictly ... See full document

... a projection based variational multiscale (VMS) method with proper orthogonal decomposition (POD) to flows governed by double diffusive ...the method, the stabilization terms are added ... See full document

... Developing algorithms for solving variational inequality problems has continued to attract the interest of numerous researchers in nonlinear operator theory. The reader may see the following important related ... See full document