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

49J40Variational methods including variational inequalities
49M99Numerical methods in calculus of variations
47H05Monotone operators (with respect to duality) and generalizations
65J15Equations with nonlinear operators (numerical methods)
65K10Optimization techniques (numerical methods)
Full Text: DOI
[1] H. Brezis and F. E. Browder,Non-linear ergodic theorems, Bull. Amer. Math. Soc.82 (1976), 959--961. · Zbl 0339.47029 · doi:10.1090/S0002-9904-1976-14233-4
[2] H. Brezis et P. L. Lions,Produits infinis de résolvantes, Israel J. Math.29 (1978), 329--345. · Zbl 0387.47038 · doi:10.1007/BF02761171
[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 · doi:10.1090/S0002-9904-1975-13874-2
[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