On Two Properties of Enlargements of Maximal Monotone Operators

Abstract

We give an answer to an open problem regarding the full enlargeability of a maximal monotone operator

S:X\rightrightarrows X^*

by

S^{se}

, the smallest enlargement belonging to a certain class of enlargements associated to

S

. Moreover, we prove the weak

^*

closedness of the set

S_{h_S}(\varepsilon_1,x)+T_{h_T} (\varepsilon_2,x)

under a weak generalized interior regularity condition.

Contact details are reproduced from the original publication and may be historical.

Faculty of Mathematics, University of Technology, 09107 Chemnitz, Germany

Faculty of Mathematics, University of Technology, 09107 Chemnitz, Germany

47H05, 46N10, 42A50

R. I. Bot, E. R. Csetnek. “On Two Properties of Enlargements of Maximal Monotone Operators.” Journal of Convex Analysis 16 (2009), No. 3&4, 713–725.