English

Quantitative asymptotic regularity of the VAM iteration with error terms for m-accretive operators in Banach spaces

Optimization and Control 2024-06-27 v4

Abstract

In this paper we obtain, by using proof mining methods, quantitative results on the asymptotic regularity of the viscosity approximation method (VAM) with error terms for m-accretive operators in Banach spaces. For concrete instances of the parameter sequences, linear rates are computed by applying a lemma due to Sabach and Shtern.

Keywords

Cite

@article{arxiv.2402.17947,
  title  = {Quantitative asymptotic regularity of the VAM iteration with error terms for m-accretive operators in Banach spaces},
  author = {Paulo Firmino and Laurentiu Leustean},
  journal= {arXiv preprint arXiv:2402.17947},
  year   = {2024}
}