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| Format: | Preprint |
| Veröffentlicht: |
2024
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| Schlagworte: | |
| Online-Zugang: | https://arxiv.org/abs/2406.01041 |
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| _version_ | 1866910469312217088 |
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| author | Alwadani, Salihah Thabet |
| author_facet | Alwadani, Salihah Thabet |
| contents | In this paper, we investigate the cycles and fixed point sets of compositions of resolvents using Attouch Théra duality. We demonstrate that the cycles defined by the resolvent operators can be formulated in Hilbert space as the solution to a fixed point equation. Furthermore, we introduce the relationship between these cycles and the fixed point sets of the composition of resolvents. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_01041 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Compositions of Resolvents: Fixed Points Sets and Set of Cycles Alwadani, Salihah Thabet Functional Analysis In this paper, we investigate the cycles and fixed point sets of compositions of resolvents using Attouch Théra duality. We demonstrate that the cycles defined by the resolvent operators can be formulated in Hilbert space as the solution to a fixed point equation. Furthermore, we introduce the relationship between these cycles and the fixed point sets of the composition of resolvents. |
| title | Compositions of Resolvents: Fixed Points Sets and Set of Cycles |
| topic | Functional Analysis |
| url | https://arxiv.org/abs/2406.01041 |