A note on the paper by Eckstein and Svaiter on "General projective splitting methods for sums of maximal monotone operators"
Functional Analysis
2009-05-22 v1 Optimization and Control
Abstract
In their recent SIAM J. Control Optim. paper from 2009, J. Eckstein and B.F. Svaiter proposed a very general and flexible splitting framework for finding a zero of the sum of finitely many maximal monotone operators. In this short note, we provide a technical result that allows for the removal of Eckstein and Svaiter's assumption that the sum of the operators be maximal monotone or that the underlying Hilbert space be finite-dimensional.
Keywords
Cite
@article{arxiv.0905.3438,
title = {A note on the paper by Eckstein and Svaiter on "General projective splitting methods for sums of maximal monotone operators"},
author = {Heinz H. Bauschke},
journal= {arXiv preprint arXiv:0905.3438},
year = {2009}
}