Title
Lower limits of type (D) monotone operators in general banach spaces
Date Issued
01 January 2016
Access level
metadata only access
Resource Type
journal article
Author(s)
Publisher(s)
Heldermann Verlag
Abstract
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.
Start page
333
End page
345
Volume
23
Issue
2
Language
English
OCDE Knowledge area
Matemáticas aplicadas
Subjects
Scopus EID
2-s2.0-85033786655
Source
Journal of Convex Analysis
ISSN of the container
09446532
Sponsor(s)
The authors were partially supported by the MathAmSud regional program: project 13MATH-01. †M. Marques Alves was partially supported Brazilian CNPq grants 305414/2011-9 and 406250/2013-8.
Sources of information:
Directorio de Producción Científica
Scopus