English

Forward-Backward Splitting with Bregman Distances

Optimization and Control 2016-10-10 v2

Abstract

We propose a forward-backward splitting algorithm based on Bregman distances for composite minimization problems in general reflexive Banach spaces. The convergence is established using the notion of variable quasi-Bregman monotone sequences. Various examples are discussed, including some in Euclidean spaces, where new algorithms are obtained.

Keywords

Cite

@article{arxiv.1505.05198,
  title  = {Forward-Backward Splitting with Bregman Distances},
  author = {Quang Van Nguyen},
  journal= {arXiv preprint arXiv:1505.05198},
  year   = {2016}
}
R2 v1 2026-06-22T09:37:37.063Z