A Note on the Paper by Eckstein and Svaiter on “General Projective Splitting Methods for Sums of Maximal Monotone Operators”

  • Authors:

  • Heinz H. Bauschke

  • Affiliations:

  • heinz.bauschke@ubc.ca

  • Venue:
  • SIAM Journal on Control and Optimization
  • Year:
  • 2009

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Abstract

In their recent paper from 2009 [SIAM J. Control Optim., 48 (2009), pp. 787-811], 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.