References
- Facchinei F, Pang J-S. Finite-dimensional variational inequalities and complementarity problems. New York: Springer; 2003.
- Kim JK, Salahuddin. Extragradient methods for generalized mixed equilibrium problems and fixed point problems in Hilbert spaces. Nonlinear Funct Anal Appl. 2017;22(4):693–709.
- Karamardian S, Schaible S. Seven kinds of monotone maps. J Optim Theory Appl. 1990;66:37–46.
- Agarwal RP, Ahmad MK, Salahuddin. Existence of solutions to weakly generalized vector F-implicit variational inequalities. Discont Nonlinear Complex. 2012;1(3):225–235.
- Ding XP, Salahuddin. Strong convergence of an iterative algorithm for a class of nonlinear set valued variational inclusions. Korean Math J. 2017;25(1):19–35.
- Censor Y, Gibali A, Reich S. Extensions of Korpelevich's extragradient method for the variational inequality problem in Euclidean space. Optimization. 2012;61(9):1119–1132.
- Gibali A, Reich S, Zalas R. Outer approximation methods for solving variational inequalities in Hilbert space. Optimization. 2017;66:417–437.
- Kim JK, Salahuddin, Lim WH. An iterative algorithm for generalized mixed equilibrium problems and fixed points of nonexpansive semigroups. J Appl Math Phys. 2017;5:276–293.
- Tam NN. Solution methods for pseudomonotone variational inequalities. J Optim Theory Appl. 2008;138(2):253–273.
- Korpelevich GM. The extragradient method for finding saddle points and other problems. Metody. 1976;12:747–756.
- Daniilidis A, Hadjisavvas N. Characterization of nonsmooth semistrictly quasiconvex and strictly quasiconvex functions. J Optim Theory Appl. 1999;102(3):525–536.
- Censor Y, Gibali A, Reich S. The subgradient extragradient method for solving variational inequalities in Hilbert space. J Optim Theory Appl. 2011;148:318–335.
- Censor Y, Gibali A, Reich S. Strong convergence of subgradient extragradient methods for the variational inequality problem in Hilbert space. Optim Methods Softw . 2011;26(4–5):827–845.
- Khanh PD. A modified extragradient method for infinite-dimensional variational inequalities. Acta Math Vietnam. 2016;41:251–263.
- Vuong PT. On the weak convergence of the extragradient method for solving pseudo-monotone variational inequalities. J Optim Theory Appl. 2018;176(2):399–409.
- Goebel K, Reich S. Uniform convexity, hyperbolic geometry, and nonexpansive mappings. New York: Marcel Dekker; 1984.
- Kinderlehrer D, Stampacchia G. An introduction to variational inequalities and their applications. New York: Academic Press; 1980.
- Konnov I. Combined relaxation methods for variational inequalities. In: Lecture notes in economics and mathematical systems. Berlin: Springer-Verlag; 2001.
- Harker PT, Pang J-S. Finite dimensional variational inequality and nonlinear complementarity problems: a survey of theory, algorithms and applications. Math Program. 1990;48:161–220.
- Cottle RW, Yao JC. Pseudo-monotone complementarity problems in Hilbert space. J Optim Theory Appl. 1992;75:281–295.