TY - JOUR
T1 - Lower limits of type (D) monotone operators in general banach spaces
AU - Bueno, Orestes
AU - Garcia, Yboon
AU - Alves, Maicon Marques
PY - 2016/1/1
Y1 - 2016/1/1
N2 - 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.
AB - 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.
KW - Banach spaces
KW - Monotone operators
KW - Moreau-Yosida regularization
KW - Type (D) operators
KW - Variational composition
KW - Variational sum
KW - Banach spaces
KW - Monotone operators
KW - Moreau-Yosida regularization
KW - Type (D) operators
KW - Variational composition
KW - Variational sum
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M3 - Article in a journal
SN - 0944-6532
VL - 23
SP - 333
EP - 345
JO - Journal of Convex Analysis
JF - Journal of Convex Analysis
IS - 2
ER -
