Title
New properties of the Variational Sum of monotone operators
Date Issued
01 December 2009
Access level
metadata only access
Resource Type
journal article
Author(s)
Universidad de Chile
Abstract
We study the Variational Sum of monotone operators, in particular its relationship with the Extended Sum of monotone operators. First, we establish some new properties of the Variational Sum, among them that this sum has closed graph and convex values. Then, we show that the graph of the Variational Sum always contains the graph of the Extended Sum, and hence, it contains also the graph of the usual sum. An example is given showing that the latter inclusions are proper in general. © Heldermann Verlag.
Start page
767
End page
778
Volume
16
Issue
April 3
Language
English
OCDE Knowledge area
Matemáticas puras
Scopus EID
2-s2.0-73349126402
Source
Journal of Convex Analysis
ISSN of the container
09446532
Sources of information: Directorio de Producción Científica Scopus