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

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

2009-05-21

arxiv.org/abs/0905.3438v1

Mathematics

Functional Analysis

Scientific paper

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.

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