Quantitative results on a generalized viscosity approximation method

Paulo Firmino; Laurentiu Leustean

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arXiv · 2512.09968

Quantitative results on a generalized viscosity approximation method

Paulo Firmino·Laurentiu Leustean

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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.

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Paulo Firmino, Laurentiu Leustean. 2025-12-10. Quantitative results on a generalized viscosity approximation method. https://arxiv.org/abs/2512.09968

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