Resumen
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.
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.
Idioma original | Inglés |
---|---|
Número de páginas | 12 |
Estado | Publicada - 14 abr. 2015 |