On a result by Baillon, Bruck, and Reich
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866910400165969920 |
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| author | Bauschke, Heinz H. Gao, Yuan |
| author_facet | Bauschke, Heinz H. Gao, Yuan |
| contents | It is well known that the iterates of an averaged nonexpansive mapping may only converge weakly to fixed point. A celebrated result by Baillon, Bruck, and Reich from 1978 yields strong convergence in the presence of linearity. In this paper, we extend this result to allow for flexible relaxation parameters. Examples are also provided to illustrate the results. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_04402 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On a result by Baillon, Bruck, and Reich Bauschke, Heinz H. Gao, Yuan Functional Analysis Optimization and Control 47H05, 47H09 (Primary) 47N10, 65K05, 90C25 (Secondary) It is well known that the iterates of an averaged nonexpansive mapping may only converge weakly to fixed point. A celebrated result by Baillon, Bruck, and Reich from 1978 yields strong convergence in the presence of linearity. In this paper, we extend this result to allow for flexible relaxation parameters. Examples are also provided to illustrate the results. |
| title | On a result by Baillon, Bruck, and Reich |
| topic | Functional Analysis Optimization and Control 47H05, 47H09 (Primary) 47N10, 65K05, 90C25 (Secondary) |
| url | https://arxiv.org/abs/2404.04402 |