Quantitative metastability of the Tikhonov-Mann iteration for countable families of mappings
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866917685422456832 |
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| author | Cheval, Horatiu |
| author_facet | Cheval, Horatiu |
| contents | In this paper, we obtain rates of metastability for the Tikhonov-Mann iteration for countable families of mappings in CAT(0) spaces. This iteration was recently defined by the author in the setting of W-hyperbolic spaces as a generalization of the strongly convergent version of the Krasnoselskii-Mann iteration introduced by Bot and Meier for finding common fixed points of families of nonexpansive mappings in Hilbert spaces, and as an extension of the Tikhonov-Mann iteration for single mappings, for which Leustean and the author obtained rates of asymptotic regularity in W-hyperbolic spaces. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_03429 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Quantitative metastability of the Tikhonov-Mann iteration for countable families of mappings Cheval, Horatiu Optimization and Control In this paper, we obtain rates of metastability for the Tikhonov-Mann iteration for countable families of mappings in CAT(0) spaces. This iteration was recently defined by the author in the setting of W-hyperbolic spaces as a generalization of the strongly convergent version of the Krasnoselskii-Mann iteration introduced by Bot and Meier for finding common fixed points of families of nonexpansive mappings in Hilbert spaces, and as an extension of the Tikhonov-Mann iteration for single mappings, for which Leustean and the author obtained rates of asymptotic regularity in W-hyperbolic spaces. |
| title | Quantitative metastability of the Tikhonov-Mann iteration for countable families of mappings |
| topic | Optimization and Control |
| url | https://arxiv.org/abs/2406.03429 |