Convergence of a Multi-Inertial-Iteration Scheme in Cone b, p-Normed Banach Spaces
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866918285574930432 |
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| author | Rada, Elvin |
| author_facet | Rada, Elvin |
| contents | We propose and analyze a multi-inertial-iteration scheme in cone b, p-normed Banach spaces. This framework extends the classical Krasnoselskii-Mann and two-step inertial iterations by incorporating three independent inertial parameters and multiple error-control sequences. Under mild assumptions such as quasi-nonexpansiveness, weak contraction, and compatibility of mappings, we establish convergence theorems guaranteeing the existence and uniqueness of fixed points. Illustrative numerical examples demonstrate accelerated convergence compared with the classical Krasnoselskii-Mann method. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_07837 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Convergence of a Multi-Inertial-Iteration Scheme in Cone b, p-Normed Banach Spaces Rada, Elvin Optimization and Control 47H10, 49M37, 65J15, 65K10 We propose and analyze a multi-inertial-iteration scheme in cone b, p-normed Banach spaces. This framework extends the classical Krasnoselskii-Mann and two-step inertial iterations by incorporating three independent inertial parameters and multiple error-control sequences. Under mild assumptions such as quasi-nonexpansiveness, weak contraction, and compatibility of mappings, we establish convergence theorems guaranteeing the existence and uniqueness of fixed points. Illustrative numerical examples demonstrate accelerated convergence compared with the classical Krasnoselskii-Mann method. |
| title | Convergence of a Multi-Inertial-Iteration Scheme in Cone b, p-Normed Banach Spaces |
| topic | Optimization and Control 47H10, 49M37, 65J15, 65K10 |
| url | https://arxiv.org/abs/2601.07837 |