Ứng dụng phương pháp vô hướng hóa phi tuyến giải bài toán cân bằng vectơ mạnh
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Anh, L.Q. and Khanh, P.Q., 2007. On the stability of the solution sets of general multivalued vector quasiequilibrium problems. Journal of Optimization Theory and Applications. 135(2): 271-284.
Anh, L.Q., Khanh, P.Q., Van, D.T.M. and J.C., Yao, 2009. Well-posedness for vector quasiequilibria. Taiwanese Journal of Mathematics. 13: 713-737.
Ansari, Q.H., Yang, X.Q. and Yao, J.C., 2001. Existence and duality of implicit vector variational problems. Numerical Functional Analysis and Optimization. 22(7-8): 815-829.
Bianchi, M. and Pini, R., 2003. A note on stability for parametric equilibrium problems. Operations Research Letters. 31(6): 445-450.
Bigi, G., Castellani, M., Pappalardo, M. and Passacantando, M., 2013. Existence and solution methods for equilibria. European Journal of Operational Research. 227(1): 1-11.
Blum, E. and Oettli, W.,1994. From optimization and variational inequalities to equilibrium problems. The Mathematics Student. 63(1): 123-145.
Fu, J.Y. and Wan, A.H., 2002. Generalized vector equilibrium problems with set-valued mappings. Mathematical Methods of Operations Research. 56(2): 259-268.
Gerstewitz (Tammer), C., 1983. Nichtkonvexe dualitat in der vektaroptimierung, Wissenschaftliche Zeitschrift der Technischen Hochschule Leuna-Mersebung. 25: 357-364.
Iusem, A.N. and Sosa W., 2003. Iterative algorithms for equilibrium problems. Optimization. 52(3): 301-316.
Iusem, A.N. and Sosa, W., 2010. On the proximal point method for equilibrium problems in Hilbert spaces. Optimization. 59(8): 1259-1274.
Kassay, G. and Miholca, M., 2015. Existence results for vector equilibrium problems given by a sum of two functions. Journal of Global Optimization. 63(1): 195-211.
Kimura, K., Liou, Y.C., Wu, S.Y. and Yao, J.C., 2008. Well-posedness for parametric vector equilibrium problems with applications. Journal of Industrial and Management Optimization. 4(2): 313-327.
Muu, L.D. and Quy, N.V., 2015. On existence and solution methods for strongly pseudomonotone equilibrium problems. Vietnam Journal of Mathematics. 43(2): 229-238.
Quoc, T.D., Anh, P.N. and Muu, L.D., 2012. Dual extragradient algorithms extended to equilibrium problems. Journal of Global Optimization. 52(1): 139-159.
Tanaka, T., 1997. Generalized semicontinuity and existence theorems forcone saddle points. Applied Mathematics and Optimization. 36(3):313-322.
Wang, S.H. and Li, Q.Y., 2015. A projection iterative algorithm for strong vector equilibrium problem. Optimization. 64(10): 2049-2063