[PDF] Top 20 A projection descent method for solving variational inequalities

... of variational inequalities is a well-established subject in nonlinear analysis and ...of variational inequalities is the solution ...for solving variational inequali- ties. By ... See full document

... selfadaptive method and hybrid projection method for solving variational inequality problem, based on the CQ algorithm for the SFP, we propose a hybrid CQ projection algorithm ... See full document

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

... 3. Yao, JC, Chadli, O: Pseudomonotone complementarity problems and variational inequalities. In: Crouzeix, JP, Haddjissas, N, Schaible, S (eds.) Handbook of Generalized Convexity and Monotonicity, pp. ... See full document

... iterative method and an explicit iterative method for solving a general system of variational inequalities (in short, GSVI) in X based on Korpelevich’s extragradient method and ... See full document

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

... the projection method, the approximation solv- ability of a system of nonlinear relaxed cocoercive variational inequalities with three different relaxed cocoercive mappings and three ... See full document

... monotonic variational inequalities and studied the approximation solvability of the system based on the application of a pro- jection ...between variational inequalities and fixed point ... See full document

... Our paper is organized as follows. In Section , we list some basic definitions, proper- ties and lemmas. In Section , the improved subgradient extragradient algorithm and its corresponding geometrical intuition are ... See full document

... the projection-contraction method, which generalizes the existing projection-contraction methods, and applied the extended projection-contraction method to the solvability of a general ... See full document

... of variational inequality problems to approximate the solution of SIVI(X, F ...exchange method to solve semi-infinite variational inequality problems by generating a sequence of finite ... See full document

... classical variational inequality problem with a Lipschitzian and strongly monotone operator on a nonempty closed convex subset in a real Hilbert space was ...steepest-descent method for this class of ... See full document

... directions method (abbre- viated as In-PADM) for solving a class of monotone variational inequalities with certain special structure, and this structure under consideration is common in ... See full document

... finite variational inequalities (4) for finite different inverse-strongly accretive operators and solutions of fixed point problems for nonexpansive mapping in a Banach ...of variational ... See full document

... extragradient-type method proposed in [5] is extended from Euclidean spaces to Banach ...double projection method in Banach space is studied, and the global weak convergence is obtained under more ... See full document

... a, b with 0 < a < b < 2β. They proved that under certain appropriate conditions imposed on {α n } and {λ n }, the sequence {x n } generated by 1.8 converges strongly to a common element of the set of fixed ... See full document

... iterative method in this paper is introduced for solving a system of variational inequalities with fixed-point set constraints. Under suitable conditions, strong conver- gence results are ... See full document

... On the other hand, for finding an element of F ix(S), Takahashi et al., [17] introduced the following iteration procedure which is usually called the shrinking projection method. Let C be nonempty closed ... See full document

... of variational inequalities is called the mixed variational in- equality involving the nonlinear ...function, projection method and its variant forms including the Wiener-Hopf ... See full document

... steepest- descent method for solving the VIP (1) with C = Fix(T ...steepest-descent method has received great attention given by many authors, who improved it in various ways; see ... See full document