**Auteur :** Julian P. Revalski, Michel Théra

**Titre :** Enlargements and Sums of Monotones Operators

**Nbre de pages :**

**Documents : **Article (PDF)

**Abstract :** In this paper we study two important notions
related to monotone operators. One is the concept of enlargement of a
given monotone operator which has turned out to be a useful tool in
the analysis of approximate solutions to problems involving monotone
operators. The second one is the notion of sum of monotone operators.
For the latter we introduce and study a kind of extended sum of two
monotone operators, which, in several important cases, turns out to
be a maximal monotone operator.

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