TY - JOUR
T1 - Representable Monotone Operators and Limits of Sequences of Maximal Monotone Operators
AU - García, Yboon
AU - Lassonde, Marc
PY - 2012/3/1
Y1 - 2012/3/1
N2 - 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.
AB - 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.
KW - Fitzpatrick function
KW - Monotone operator
KW - Sequence of operators
KW - Variational sum
KW - Fitzpatrick function
KW - Monotone operator
KW - Sequence of operators
KW - Variational sum
UR - https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84856503717&origin=inward
UR - https://www.scopus.com/inward/citedby.uri?partnerID=HzOxMe3b&scp=84856503717&origin=inward
U2 - 10.1007/s11228-011-0178-8
DO - 10.1007/s11228-011-0178-8
M3 - Article in a journal
SN - 0927-6947
VL - 20
SP - 61
EP - 73
JO - Set-Valued and Variational Analysis
JF - Set-Valued and Variational Analysis
IS - 1
ER -