Limits of sequences of maximal monotone operators
Optimization and Control
2011-01-31 v1
Abstract
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.
Keywords
Cite
@article{arxiv.1101.5574,
title = {Limits of sequences of maximal monotone operators},
author = {Yboon García and Marc Lassonde},
journal= {arXiv preprint arXiv:1101.5574},
year = {2011}
}