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

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/231010In 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.Functional AnalysisOptimization and Control47H05; 47H09A note on the paper by Eckstein and Svaiter on "General projective splitting methods for sums of maximal monotone operators"text