Rates of (T-)asymptotic regularity of the generalized Krasnoselskii-Mann-type iteration
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866913660741353472 |
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| author | Firmino, Paulo Leustean, Laurentiu |
| author_facet | Firmino, Paulo Leustean, Laurentiu |
| contents | In this paper we use proof mining methods to compute rates of ($T$-)asymptotic regularity of the generalized Krasnoselskii-Mann-type iteration associated to a nonexpansive mapping $T:X\to X$ in a uniformly convex normed space $X$. For special choices of the parameter sequences, we obtain quadratic rates. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_09523 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Rates of (T-)asymptotic regularity of the generalized Krasnoselskii-Mann-type iteration Firmino, Paulo Leustean, Laurentiu Optimization and Control Logic 47H05, 47H09, 47J25 In this paper we use proof mining methods to compute rates of ($T$-)asymptotic regularity of the generalized Krasnoselskii-Mann-type iteration associated to a nonexpansive mapping $T:X\to X$ in a uniformly convex normed space $X$. For special choices of the parameter sequences, we obtain quadratic rates. |
| title | Rates of (T-)asymptotic regularity of the generalized Krasnoselskii-Mann-type iteration |
| topic | Optimization and Control Logic 47H05, 47H09, 47J25 |
| url | https://arxiv.org/abs/2501.09523 |