References
- Anh, P. N., Kim, J. K., & Muu, L. D. (2012). An extragradient algorithm for solving bilevel variational inequalities. Journal of Global Optimization, 52, 627–39.
- Blum, E., & Oettli, W. (1994). From optimization and variational inequalities to equilibrium problems. The Mathematics Student, 63, 127–149.
- Censor, Y., & Lent, A. (1981). An iterative row-action method for interval convex programming. Journal of Optimization Theory and Applications, 34, 321–353.
- Ding, X. P. (2010). Auxiliary principle and algorithm for mixed equilibrium problems and bilevel equilibrium problems in Banach spaces. Journal of Optimization Theory and Applications, 146, 347–357.
- Dinh, B. V., & Muu, L. D. (2015). Projection algorithm for solving pseudomonotone equilibrium problems and it’s application to a class of bilevel equilibria. Optimization, 64, 559–575.
- Facchinei, F., & Pang, J. S. (2003). Finite-dimensional variational inequalities and complementarity problems. New York, NY: Springer.
- Konnov, I. V. (2001). Combined relaxation methods for variational inequalities (Lecture notes in economics and mathematical systems). Berlin: Springer.
- Luo, J. Q., Pang, J. S., & Ralph, D. (1996). Mathematical programs with equilibrium constraints. Cambridge: Cambridge University Press.
- Maingé, P. E. (2008a). Strong convergence of projected subgradient methods for nonsmooth and nonstrictly convex minimization. Set-Valued Analysis, 16, 899–912.
- Maingé, P. E. (2008b). A hybrid extragradient viscosity methods for monotone operators and fixed point problems. SIAM Journal on Control and Optimization, 47, 1499–1515.
- Mastroeni, G. (2003). On auxiliary principle for equilibrium problems. Journal of Global Optimization, 27, 411–426.
- Migdalas, M. A., Pardalos, P., & Varbrand, P. (Eds.). (1988). Multilevel optimization: Algorithms and applications. Dordrecht: Kluwer.
- Moudafi, A. (2010). Proximal methods for a class of bilevel monotone equilibrium problems. Journal of Global Optimization, 47, 287–292.
- Muu, L. D., & Oettli, W. (1992). Convergence of an adaptive penalty scheme for finding constrained equilibria. Nonlinear Analysis, Theory, Methods & Applications, 18, 1159–1166.
- Rockafellar, R. T. (1970). Convex analysis. Princeton, NJ: Princeton University Press.
- Solodov, M. V., & Svaiter, B. F. (1999). A new projection method for variational inequality problems. SIAM Journal on Control and Optimization, 37, 765–776.
- Yao, Y., Liou, Y. C., & Kang, S. M. (2010). Minimization of equilibrium problems, variational inequality problems and fixed point problems. Journal of Global Optimization, 48, 643–656.