Enlargements and Sums of Monotone Operators

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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