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Une méthode itérative de résolution d’une inéquation variationnelle. (French) Zbl 0395.49013


MSC:

49J40 Variational inequalities
49M99 Numerical methods in optimal control
47H05 Monotone operators and generalizations
65J15 Numerical solutions to equations with nonlinear operators
65K10 Numerical optimization and variational techniques
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References:

[1] Brezis, H.; Browder, F. E., Non-linear ergodic theorems, Bull. Amer. Math. Soc., 82, 959-961 (1976) · Zbl 0339.47029
[2] Brezis, H.; Lions, P. L., Produits infinis de résolvantes, Israel J. Math., 29, 329-345 (1978) · Zbl 0387.47038
[3] Bruck, R. E., An iterative solution of a variational inequality for certain monotone operators in Hilbert space, Bull. Amer. Math. Soc., 81, 890-892 (1975) · Zbl 0332.49005
[4] R. E. Bruck,Weak convergence of an ergodic iteration, preprint. · Zbl 0423.47023
[5] R. E. Bruck,On the strong convergence of an iteration for the solution of operator equations involving monotone operators in Hilbert space, preprint. · Zbl 0399.47048
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