DOI: 10.68381/jca16043 ISSN: 0944-6532
On Two Properties of Enlargements of Maximal Monotone Operators
Radu Ioan Boţ, Ernö Robert Csetnek
We give an answer to an open problem regarding the full enlargeability of a maximal monotone operator
S:X\rightrightarrows X^*
S
:
X
⇉
X
∗
by
S^{se}
S
s
e
, the smallest enlargement belonging to a certain class of enlargements associated to
S
S
. Moreover, we prove the weak
^*
∗
closedness of the set
S_{h_S}(\varepsilon_1,x)+T_{h_T} (\varepsilon_2,x)
S
h
S
(
ε
1
,
x
)
+
T
h
T
(
ε
2
,
x
)
under a weak generalized interior regularity condition.