Abstract
We give, for general Banach spaces, a characterization of the sequential lower limit of maximal monotone operators of type (D) and prove its representability. As a consequence, using a recent extension of the Moreau-Yosida regularization for type (D) operators, we extend to general Banach spaces the definitions of the variational sum of monotone operators and the variational composition of monotone operators with continuous linear mappings, and we prove that both operators are representable.
| Original language | English |
|---|---|
| Pages (from-to) | 333-345 |
| Number of pages | 13 |
| Journal | Journal of Convex Analysis |
| Volume | 23 |
| Issue number | 2 |
| State | Published - 1 Jan 2016 |
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Keywords
- Banach spaces
- Monotone operators
- Moreau-Yosida regularization
- Type (D) operators
- Variational composition
- Variational sum
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