Solution method for monotone mixed variational inequalities
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Tài liệu tham khảo
A. N. Tikhonov, On the Solution of Ill-Posed Problems and Regularization Method, Dokl. Akad. Nauk SSSR 151, 501 (1963).
F. E. Browder, Existence and Approximation of Solutions of Nonlinear Variational Inequalities Proc. Natl. Acad. Sci. USA 56, 1080 (1966).
I. V. Konnov and O. V. Pinyagina, D-Gap Functions and Descent Methods for a Class of Monotone Equilibrium Problems, Lobachevskii J. Math. 13, 57 (2003).
A. Kaplan and R. Tichatschke, Auxiliary Problem Principle and the Approximation of Variational Inequalities with Nonsymmetric Multivalued Operators, CMS Conf. Proc. 27, 185 (2000).
K. Baiocchi and A. Capelo, Variational and Quasivariational Inequalities: Applications to Free-Boundary Problems (Wiley, New York, 1984; Nauka, Moscow, 1988).
F. P. Vasil’ev, Numerical Methods for Solving Extremal Problems (Nauka, Moscow, 1988) [in Russian].
P. D. Panagiotopoulos, Inequality Problems in Mechanics and Applications (Birkhauser, Boston, 1985).
I. V. Konnov, “Iterative Solution Methods for Mixed Equilibrium Problems and Variational Inequalities with Nonsmooth Functions”, Game Theory: Strategies, Equilibria, and Theorems, Ed. by I. N. Haugen and A. S. Nilsen (NOVA, Hauppauge, 2008), Chapter 4, pp. 117–160.
V. F. Dem’yanov and A. I. Rubinov, Elements of Nonsmooth Analysis and Quasi-Differential Calculus (Nauka, Moscow, 1990) [in Russian].