English

A variable metric extension of the forward--backward--forward algorithm for monotone operators

Optimization and Control 2012-11-01 v2

Abstract

We propose a variable metric extension of the forward--backward-forward algorithm for finding a zero of the sum of a maximally monotone operator and a Lipschitzian monotone operator in Hilbert spaces. In turn, this framework provides a variable metric splitting algorithm for solving monotone inclusions involving sums of composite operators. Several splitting algorithms recently proposed in the literature are recovered as special cases.

Keywords

Cite

@article{arxiv.1210.2986,
  title  = {A variable metric extension of the forward--backward--forward algorithm for monotone operators},
  author = {B. C. Vũ},
  journal= {arXiv preprint arXiv:1210.2986},
  year   = {2012}
}
R2 v1 2026-06-21T22:19:30.656Z