We show that the lower limit of a sequence of maximal monotone operators on a reflexive Banach space is a representable monotone operator. As a consequence, we obtain that the variational sum of maximal monotone operators and the variational composition of a maximal monotone operator with a linear continuous operator are both representable monotone operators.
|Number of pages||13|
|Journal||Set-Valued and Variational Analysis|
|State||Published - 1 Mar 2012|
- Fitzpatrick function
- Monotone operator
- Sequence of operators
- Variational sum