References
- Muu LD, Oettli W. Convergence of an adative penalty scheme for finding constrained equilibria. Nonlinear Anal. TMA. 1992;18:1159–1166.
- Blum E, Oettli W. From optimization and variational inequalities to equilibrium problems. Math Program. 1994;63:123–145.
- Daniele P, Giannessi F, Maugeri A. Equilibrium problems and variational models. Dordrecht: Kluwer; 2003.
- Anh PK. Buong Ng, Hieu DV. Parallel methods for regularizing systems of equations involving accretive operators. Appl Anal. 2014;93:2136–2157.
- Aguiar e Oliveira JrH. Coalition formation feasibility and Nash-Cournot equilibrium problems in electricity markets: a fuzzy ASA approach. Appl Soft Comput. 2015;35:1–12.
- Raciti F, Falsaperla P. Improved noniterative algorithm for solving the traffic equilibrium problem. J Optim Theory Appl. 2007;133:401–411.
- Combettes PL, Hirstoaga S. Equilibrium programming in Hilbert spaces. J Nonlinear Convex Anal. 2005;6:117–136.
- Konnov IV. Combined relaxation methods for variational inequalities. Berlin: Springer; 2000.
- Quoc TD, Muu LD, Nguyen VH. Extragradient algorithms extended to equilibrium problems. Optimization. 2008;57:749–776.
- Korpelevich GM. The extragradient method for finding saddle points and other problems. Ekonomikai Matematicheskie Metody. 1976;12:747–756.
- Nguyen TPD, Strodiot JJ, Nguyen VH, Nguyen TTV,. A family of extragradient methods for solving equilibrium problems. J Ind Manage Optim. 2015;11:619–630.
- Anh PK, Hieu DV. Parallel and sequential hybrid methods for a finite family of asymptotically quasi φ-nonexpansive mappings. J Appl Math Comput. 2015;48:241–263.
- Anh PK, Hieu DV. Parallel hybrid methods for variational inequalities, equilibrium problems and common fixed point problems. Vietnam J Math. 2016;44:351–374.
- Hieu DV, Muu LD, Anh PL. Parallel hybrid extragradient methods for pseudomonotone equilibrium problems and nonexpansive mappings. Numer Algor. 2016;73:197–217.
- Hieu DV. Parallel hybrid methods for generalized equilibrium problems and asymptotically strictly pseudocontractive mappings. J Appl Math Comput. 2017;53:531–554.
- Hieu DV. A parallel hybrid method for equilibrium problems, variational inequalities and nonexpansive mappings in Hilbert space. J Korean Math Soc. 2015;52:373–388.
- Hieu DV. Common solutions to pseudomonotone equilibrium problems. Bull Iranian Math Soc. 2016;42:1207–1219.
- Hieu DV. An extension of hybrid method without extrapolation step to equilibrium problems. J Ind Manage Optim. 2016;. doi:10.3934/jimo.2017015.
- Jaiboon C, Kumam P. Strong convergence theorems for solving equilibrium problems and fixed point problems of ξ - strict pseudo-contraction mappings by two hybrid projection methods. J Comput Appl Math. 2010;234:722–732.
- Jitpeera T, Kumam P. The shrinking projection method for common solutions of generalized mixed equilibrium problems and fixed point problems for strictly pseudocontractive mappings. J Inequal Appl. 2011;2011:25p. DOI:10.1155/2011/840319. Article ID: 840319.
- Kumam W, Jaiboon C, Kumam P, Singta A. A shrinking projection method for generalized mixed equilibrium problems, variational inclusion problems and a finite family of quasi-nonexpansive mappings. J Inequal Appl. 2010;2010:25p. DOI:10.1155/2010/458247. Article ID: 458247.
- Nguyen TTV, Strodiot JJ, Nguyen VH. Hybrid methods for solving simultaneously an equilibrium problem and countably many fixed point problems in a Hilbert space. J Optim Theory Appl. 2014;160:809–831.
- Strodiot JJ, Nguyen TTV, Nguyen VH. A new class of hybrid extragradient algorithms for solving quasi-equilibrium problems. J Glob Optim. 2013;56:373–397.
- Vuong PT, Strodiot JJ, Nguyen VH. Extragradient methods and linesearch algorithms for solving Ky Fan inequalities and fixed point problems. J Optim Theory Appl. 2012;155:605–627.
- Vuong PT, Strodiot JJ, Nguyen VH. On extragradient-viscosity methods for solving equilibrium and fixed point problems in a Hilbert space. Optimization. 2015;64:429–451.
- Lions JL. Optimal control of systems governed by partial differentialequations. Berlin: Springer-Verlag; 1971.
- Malitsky YV, Semenov VV. A hybrid method without extrapolation step for solving variational inequality problems. J. Glob. Optim. 2015;61:193–202.
- Boyd S, Vandenberghe L. Convex optimization. New York: Cambridge University Press; 2004.
- Bauschke HH, Combettes PL. Convex analysis and monotone operator theory in Hilbert spaces. New York (NY): Springer; 2011.
- Goebel K, Reich S. Uniform convexity, hyperbolic geometry, and nonexpansive mappings. New York (NY): Marcel Dekker; 1984.
- Rockafellar R. Convex analysis. Princeton (NJ): Princeton University Press; 1970.
- Mastroeni G. On auxiliary principle for equilibrium problems. Publ Dipart Math Univ Pisa. 2000;3:1244–1258.
- 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 Soft. 2011;26:827–845.
- Malitsky YV. Projected reflected gradient methods for monotone variational inequalities. SIAM J Optim. 2015;25:502–520.
- Tseng P. A modified forward-backward splitting method for maximal monotone map-pings. SIAM J Control Optim. 2000;38:431–446.
- Harker PT, Pang JS. A damped-newton method for the linear complementarity problem. Lectures Appl Math. 1990;26:265–284.
- Quoc TD, Anh PN, Muu LD. Dual extragradient algorithms extended to equilibrium problems. J Glob Optim. 2012;52:139–159.