Resumen
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.
Idioma original | Inglés |
---|---|
Páginas (desde-hasta) | 61-73 |
Número de páginas | 13 |
Publicación | Set-Valued and Variational Analysis |
Volumen | 20 |
N.º | 1 |
DOI | |
Estado | Publicada - 1 mar. 2012 |
Publicado de forma externa | Sí |
Palabras clave
- Fitzpatrick function
- Monotone operator
- Sequence of operators
- Variational sum