Quantitative results on a generalized viscosity approximation method
Optimization and Control
2025-12-12 v1 Logic
Abstract
In this paper, we study, in a nonlinear setting, the asymptotic behaviour of a generalized viscosity approximation method associated with a countable family of nonexpansive mappings satisfying resolvent-like conditions. We apply proof mining methods to obtain quantitative results on asymptotic regularity in W-hyperbolic spaces and rates of metastability in CAT(0) spaces.
Cite
@article{arxiv.2512.09968,
title = {Quantitative results on a generalized viscosity approximation method},
author = {Paulo Firmino and Laurentiu Leustean},
journal= {arXiv preprint arXiv:2512.09968},
year = {2025}
}