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

##### MSC:
 49J40 Variational methods including variational inequalities 49M99 Numerical methods in calculus of variations 47H05 Monotone operators (with respect to duality) and generalizations 65J15 Equations with nonlinear operators (numerical methods) 65K10 Optimization techniques (numerical methods)
##### Keywords:
Iterative Method; Maximal Monotone Operator
##### References:
 [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. [5] R. E. Bruck,On the strong convergence of an iteration for the solution of operator equations involving monotone operators in Hilbert space, preprint.