References
- Stampacchia G . Formes bilinéaires coercitives sur les ensembles convexes. CR Acad Sci Paris. 1964;258:4413–4416.
- Kinderlehrer D , Stampacchia G . An introduction to variational inequalities and their applications. New York (NY): Academic Press; 1980.
- Daniele P , Giannessi F , Maugeri A . Equilibrium problems and variational models. Dordrecht: Kluwer; 2003.
- Giannessi F , Maugeri A , Pardalos PM . Equilibrium problems: nonsmooth optimization and variational inequality models. New York (NY): Kluwer; 2004.
- Konnov IV . Combined relaxation methods for variational inequalities. Berlin: Springer; 2000.
- Konnov IV . Equilibrium models and variational inequalities. Amsterdam: Elsevier; 2007.
- Facchinei F , Pang JS . Finite-dimensional variational inequalities and complementarity problems. Berlin: Springer; 2002.
- Anh PK . Buong Ng, Hieu DV. Parallel methods for regularizing systems of equations involving accretive operators. Appl Anal. 2014;93:2136–2157.
- Korpelevich GM . The extragradient method for finding saddle points and other problems. Ekonomikai Matematicheskie Metody. 1976;12:747–756.
- Popov LD . A modification of the Arrow-Hurwicz method for searching for saddle points. Mat Zametki. 1980;28:777–784.
- Malitsky YV , Semenov VV . An extragradient algorithm for monotone variational inequalities. Cybern Syst Anal. 2014;50:271–277.
- Hieu DV , Muu LD , Anh PK . Parallel hybrid extragradient methods for pseudomonotone equilibrium problems and nonexpansive mappings. Numer Algorithms. 2016;73:197–217.
- Hieu DV . New extragradient method for a class of equilibrium problems in Hilbert spaces. Appl Anal. 2018;97:811–824. DOI:10.1080/00036811.2017.1292350.
- 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 Meth Softw. 2011;26:827–845.
- Censor Y , Gibali A , Reich S . Extensions of Korpelevich’s extragradient method for the variational inequality problem in Euclidean space. Optimization. 2012;61:1119–1132.
- Hieu DV . New subgradient extragradient methods for common solutions to equilibrium problems. Comput Optim Appl. 2017;67:571–594.
- Hieu DV . Convergence analysis of a new algorithm for strongly pseudomontone equilibrium problems. Numer Algorithm. 2018;77:983–1001. doi:10.1007/s11075-017-0350-9.
- Hieu DV , Anh PK , Muu LD . Modified hybrid projection methods for finding common solutions to variational inequality problems. Comput Optim Appl. 2017;66:75–96.
- Maingé PE . A hybrid extragradient-viscosity method for monotone operators and fixed point problems. SIAM J Control Optim. 2008;47:1499–1515.
- Tseng P . A modified forward-backward splitting method for maximal monotone mappings. SIAM J Control Optim. 2000;38:431–446.
- Kassay G , Reich S , Sabach S . Iterative methods for solving systems of variational inequalities in reflexive Banach spaces. SIAM J Optim. 2011;21:1319–1344.
- Khanh PD , Vuong PT . Modified projection method for strongly pseudomonotone variational inequalities. J Glob Optim. 2014;58:341–350.
- Xia FQ , Ansari QH , Yao JC . A new incremental constraint projection method for solving monotone variational inequalities. Optim Meth Software. 2017;32:470–502.
- Malitsky YV . Projected reflected gradient methods for monotone variational inequalities. SIAM J Optim. 2015;25:502–520.
- Maingé PE , Gobinddass ML . Convergence of one-step projected gradient methods for variational inequalities. J Optim Theory Appl. 2016;171:146–168.
- Rudin W . Real and complex analysis. 3rd ed. New York (NY): McGraw-Hill; 1987.