Quantitative asymptotic regularity of the VAM iteration with error terms for m-accretive operators in Banach spaces
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866909231420014592 |
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| author | Firmino, Paulo Leustean, Laurentiu |
| author_facet | Firmino, Paulo Leustean, Laurentiu |
| contents | 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. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2402_17947 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Quantitative asymptotic regularity of the VAM iteration with error terms for m-accretive operators in Banach spaces Firmino, Paulo Leustean, Laurentiu Optimization and Control 47H05, 47H09, 47J25, 03F10 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. |
| title | Quantitative asymptotic regularity of the VAM iteration with error terms for m-accretive operators in Banach spaces |
| topic | Optimization and Control 47H05, 47H09, 47J25, 03F10 |
| url | https://arxiv.org/abs/2402.17947 |