Revisiting jointly firmly nonexpansive families of mappings
Optimization and Control
2022-07-26 v3 Logic
Abstract
Recently, the author, together with L. Leustean and A. Nicolae, introduced the notion of jointly firmly nonexpansive families of mappings in order to investigate in an abstract manner the convergence of proximal methods. Here, we further the study of this concept, by giving a characterization in terms of the classical resolvent identity, by improving on the rate of convergence previously obtained for the uniform case, and by giving a treatment of the asymptotic behaviour at infinity of such families.
Keywords
Cite
@article{arxiv.2006.02167,
title = {Revisiting jointly firmly nonexpansive families of mappings},
author = {Andrei Sipos},
journal= {arXiv preprint arXiv:2006.02167},
year = {2022}
}
Comments
arXiv admin note: text overlap with arXiv:2108.13994