Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2406.03429 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866917685422456832 |
|---|---|
| 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 |