Abstract
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.
Original language | English |
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Pages (from-to) | 61-73 |
Number of pages | 13 |
Journal | Set-Valued and Variational Analysis |
Volume | 20 |
Issue number | 1 |
DOIs | |
State | Published - 1 Mar 2012 |
Externally published | Yes |
Keywords
- Fitzpatrick function
- Monotone operator
- Sequence of operators
- Variational sum