References
- P. K. Anh and D. V. Hieu (2016). Parallel hybrid methods for variational inequalities, equilibrium problems and common fixed point problems. Vietnam J. Math. 44:351–374.
- P. N. Anh (2011). A hybrid extragradient method extended to fixed point problems and equilibrium problems. Optimization 62:271–283.
- P. N. Anh and H. A. Le Thi (2013). An Armijo-type method for pseudomonotone equilibrium problems and its applications. J. Glob. Optim. 57:803–820.
- M. Bianchi and S. Schaible (1996). Generalized monotone bifunctions and equilibrium problems. J. Optim. Theory Appl. 90:31–43.
- E. Blum and W. Oettli (1994). From optimization and variational inequalities to equilibrium problems. Math. Students 63:123–145.
- L. C. Ceng, A. Petrusel, and J. C. Yao (2009). Iterative approaches to solving equilibrium problems and fixed point problems of inenitely many nonexpansive mappings. J. Optim. Theory Appl. 143:37–58.
- P. Daniele, F. Giannessi, and A. Maugeri (2003). Equilibrium Problems and Variational Models. Kluwer Academic Publishers, Dordrecht, The Netherlands.
- B. V. Dinh, P. G. Hung, and L. D. Muu (2014). Bilevel optimization as a regularization approach to pseudomonotone equilibrium problems. Numer. Funct. Anal. Optim. 35: 539–563.
- B. V. Dinh and D. S. Kim (2016). Projection algorithms for solving nonmonotone equilibrium problems in Hilbert space. J. Comput. Appl. Math. 302:106–117.
- K. Fan (1972). A minimax inequality and applications. In Inequality (O. Shisha, eds.). Vol. III. Academic Press, New York, pp. 103–113.
- K. Goebel and W. A. Kirk (1990). Topics in Metric Fixed Point Theory, Cambridge Studies in Advanced Mathematics, Vol. 28. Cambridge University Press, Cambridge.
- D. V. Hieu, L. D. Muu, and P. K. Anh (2016). Parallel hybrid extragradient methods for pseudomonotone equilibrium problems and nonexpansive mappings. Numer. Algor. 73: 197–217.
- J. Kang, Y. Su, and X. Zhang (2010). Hybrid algorithm for fixed points of weak relatively nonexpansive mappings and applications. Nonlinear Analysis: Hybrid Systems 4:755–765.
- G. M. Korpelevich (1976). The extragradient method for finding saddle points and other problems. Matecon 12:747–756.
- P. Katchang and P. Kumam (2013). An iterative algorithm for common fixed points for nonexpansive semigroups and strictly pseudocontractive mappings with optimization problems. J. Glob. Optim. 56:1563–1589.
- D. Kinderlehrer and G. Stampacchia (1980). An Introduction to Variational Inequalities and Their Applications. Academic Press, New York.
- W. R. Mann (1953). Mean value methods in iteration. Proceedings of the American Mathematics Society 4:506–510.
- G. Mastroeni (2000). On auxiliary principle for equilibrium problems. Publicatione del Dipartimento di Mathematica dell Universita di Pisa 3:1244–1258.
- N. Nadezhkina and W. Takahashi (2006). Weak convergence theorem by an extragradient method for nonexpansive mappings and monotone mappings. J. Optim. Theory Appl. 128:191–201.
- J. W. Peng (2010). Iterative algorithms for mixed equilibrium problems, strict pseudocontractions and monotone mappings. J. Optim. Theory Appl. 144:107–119.
- Y. Shehu (2011). Iterative approximation method for finite family of relatively quasi nonexpansive mappings and systems of equilibrium problems. J. Glob. Optim. 51:69–78.
- M. V. Solodov and B. F. Svaiter (1999). A new projection method for variational inequality problems. SIAM J. Control. Optim. 37:765–776.
- Y. Su, M. Li, and H. Zhang (2011). New monotone hybrid algorithm for hemi-relatively nonexpansive mappings and maximal monotone operators. Appl. Math. Comput. 217: 5458–5465.
- A. Tada and W. Takahashi (2006). Strong convergence theorem for an equilibrium problem and a nonexpansive mapping. In Nonlin. Anal. and Convex Anal. (W. Takahashi, T. Tanaka, eds.). Yokohama Publishers, Yokohama.
- S. Takahashi and W. Takahashi (2007). Viscosity approximation methods for equilibrium problems and fixed point in Hilbert space. J. Math. Anal. and Appl. 331:506–515.
- W. Takahashi and M. Toyoda (2003). Weak convergence theorems for nonexpansive mappings and monotone mappings. J. Optim. Theory Appl. 118:417–428.
- P. T. Vuong, J. J. Strodiot, and V. H. Nguyen (2012). Extragradient methods and linesearch algorithms for solving Ky Fan inequalities and fixed point problems. J. Optim. Theory Appl. 155:605–627.
- D. J. Wen (2014). Weak and strong convergence of hybrid subgradient method for pesudomonotone equilibrium problem and multivalued nonexpansive mappings. Fixed Point Theory Appl. 232:1–14.
- H. K. Xu (1991). Inequalities in Banach spaces with applications. Nonlinear Anal. Theory Methods Appl. 16:1127–1138.