Strong convergence of extragradient methods for solving bilevel pseudo-monotone variational inequality problems

Author:

Thong Duong Viet,Triet Nguyen Anh,Li Xiao-Huan,Dong Qiao-Li

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics

Reference43 articles.

1. Cegielski, A.: Iterative Methods for Fixed Point Problems in Hilbert Spaces Lecture Notes in Mathematics, vol. 2057. Springer, Berlin (2012)

2. Anh, P.N., Kim, J.K., Muu, L.D.: An extragradient algorithm for solving bilevel pseudomonotone variational inequalities. J. Glob. Optim. 52, 627–639 (2012)

3. Antipin, A.S.: On a method for convex programs using a symmetrical modification of the Lagrange function. Ekon. Matematicheskie Metody 12, 1164–1173 (1976)

4. Baiocchi, C., Capelo, A.: Variational and Quasivariational Inequalities: Applications to Free Boundary Problems. Wiley, New York (1984)

5. Censor, Y., Gibali, A., Reich, S.: Extensions of Korpelevich’s extragradient method for the variational inequality problem in Euclidean space. Optimization 61, 1119–1132 (2011)

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