Convergence variationelle et opérateurs maximaux monotones d’un espace de Hilbert réel. (Variational convergence and maximal monotone operators on a real Hilbert space). (French) Zbl 0733.47047

Tossings, P.

Bull. Soc. R. Sci. Liège 60, No. 2-3, 103-132 (1991).

A parametric semi-distance is introduced on the set of maximal monotone operators on a real Hilbert space. This metric is fundamental in the theoretical study of algorithms for searching a zero of a maximal monotone operator on a real Hilbert space.

Reviewer: S.Tersian (Russe)

MSC:

47H05

Monotone operators and generalizations

Keywords:

Yosida approximation; parametric semi-distance; set of maximal monotone operators on a real Hilbert space; algorithms for searching a zero of a maximal monotone operator