A note on the paper by Eckstein and Svaiter on "General projective splitting methods for sums of maximal monotone operators"

Heinz H. Bauschke

Published 2009-05-21Version 1

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.