References
- P.K. Anh and D.V. Hieu, Parallel hybrid iterative methods for variational inequalities, equilibrium problems, and common fixed point problems, Vietnam J. Math. 44 (2016), pp. 351–374. doi: 10.1007/s10013-015-0129-z
- P.N. Anh, T.N. Hai, and P.M. Tuan, On ergodic algorithms for equilibrium problems, J. Global Optim. 64 (2016), pp. 179–195. doi: 10.1007/s10898-015-0330-3
- P.L. Combettes and S.A. Hirstoaga, Equilibrium programming in Hilbert spaces, J. Nonlinear Convex Anal. 6 (2005), pp. 117–136.
- K. Fan, A Minimax Inequality and Applications, Inequalities III, Academic Press, New York, 1972, pp. 103–113.
- T.N. Hai and N.T. Vinh, Two new splitting algorithms for equilibrium problems, Rev. R. Acad. Cienc. Exactas Fís. Nat. Ser. A Math. RACSAM, 111 (2017), pp. 1051–1069. doi: 10.1007/s13398-016-0347-6
- D.V. Hieu, P.K. Anh, and L.D. Muu, Modified hybrid projection methods for finding common solutions to variational inequality problems, Comput. Optim. Appl. 66 (2017), pp. 75–96. doi: 10.1007/s10589-016-9857-6
- H. Iiduka, Fixed point optimization algorithm and its application to power control in CDMA data networks, Math. Program. 133 (2012), pp. 227–242. doi: 10.1007/s10107-010-0427-x
- H. Iiduka and I. Yamada, A subgradient-type method for the equilibrium problem over the fixed point set and its applications, Optimization 58 (2009), pp. 251–261. doi: 10.1080/02331930701762829
- H. Iiduka and I. Yamada, An ergodic algorithm for the power-control games for CDMA data networks, J. Math. Model. Algorithms 8 (2009), pp. 1–18. doi: 10.1007/s10852-008-9099-4
- A.N. Iusem and W. Sosa, New existence results for equilibrium problems, Nonlinear Anal. 52 (2003), pp. 621–635. doi: 10.1016/S0362-546X(02)00154-2
- J.K. Kim, P.N. Anh, and T.N. Hai, The Bruck's ergodic iteration method for the Ky Fan inequality over the fixed point set, Int. J. Comput. Math. 94 (2017), pp. 2466–2480. doi: 10.1080/00207160.2017.1283414
- G.M. Korpolevich, The extragradient method for finding saddle points and other problems, Ekonomika i matematicheskie metody 12 (1976), pp. 747–756.
- L.D. Muu and T.D. Quoc, Regularization algorithms for solving monotone Ky Fan inequalities with application to a Nash-Cournot equilibrium model, J. Optim. Theory Appl. 142 (2009), pp. 185–204. doi: 10.1007/s10957-009-9529-0
- T.D. Quoc, P.N. Anh, and L.D. Muu, Dual extragradient algorithms extended to equilibrium problems, J. Global Optim. 52 (2012), pp. 139–159. doi: 10.1007/s10898-011-9693-2
- T.D. Quoc, L.D. Muu, and V.H. Nguyen, Extragradient algorithms extended to equilibrium problems, Optimization 57 (2008), pp. 749–776. doi: 10.1080/02331930601122876
- E. Ronald and R.E. Bruck, A simple proof of the mean ergodic theorem for nonlinear contractions in Banach spaces, Israel J. Math. 32 (1979), pp. 107–116. doi: 10.1007/BF02764907
- M.V. Solodov and B.F. Svaiter, A new projection method for variational inequality problems, SIAM J. Control Optim. 34 (1996), pp. 1814–1830. doi: 10.1137/S0363012994268655
- K.K. Tan and H.K. Xu, Approximating fixed points of nonexpansive mappings by the Ishikawa iteration process, J. Math. Anal. Appl. 178 (1993), pp. 301–308. doi: 10.1006/jmaa.1993.1309
- L.Q. Thuy and T.N. Hai, A projected subgradient algorithm for bilevel equilibrium problems and applications, J. Optim. Theory Appl. 175 (2017), pp. 411–431. doi: 10.1007/s10957-017-1176-2
- P.T. Vuong, J.J. Strodiot, and V.H. Nguyen, Projected viscosity subgradient methods for variational inequalities with equilibrium problem constraints in Hilbert spaces, J. Global Optim. 59 (2014), pp. 173–190. doi: 10.1007/s10898-013-0084-8
- L.H. Yen, L.D. Muu, and N.T.T. Huyen, An algorithm for a class of split feasibility problems: Application to a model in electricity production, Math. Methods Oper. Res. 84 (2016), pp. 549–565. doi: 10.1007/s00186-016-0553-1