Quantitative results on a generalized viscosity approximation method
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866915667739934720 |
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| author | Firmino, Paulo Leustean, Laurentiu |
| author_facet | Firmino, Paulo Leustean, Laurentiu |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_09968 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Quantitative results on a generalized viscosity approximation method Firmino, Paulo Leustean, Laurentiu Optimization and Control Logic 47H05, 47H09, 47J25, 03F10 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. |
| title | Quantitative results on a generalized viscosity approximation method |
| topic | Optimization and Control Logic 47H05, 47H09, 47J25, 03F10 |
| url | https://arxiv.org/abs/2512.09968 |