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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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[1] H. Brezis and F. E. Browder,Non-linear ergodic theorems, Bull. Amer. Math. Soc.82 (1976), 959–961. · Zbl 0339.47029
[2] H. Brezis et P. L. Lions,Produits infinis de résolvantes, Israel J. Math.29 (1978), 329–345. · Zbl 0387.47038
[3] R. E. Bruck,An iterative solution of a variational inequality for certain monotone operators in Hilbert space. Bull. Amer. Math. Soc.81 (1975), 890–892 (voir également le Corrigendum82 (1976)). · 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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