The proximal point method and its two variants for monotone vector fields in Hadamard spaces
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
| Online Access: | |
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| _version_ | 1866914526216060928 |
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| author | Chaipunya, Parin Kohsaka, Fumiaki |
| author_facet | Chaipunya, Parin Kohsaka, Fumiaki |
| contents | We prove existence and convergence of
sequences generated by the proximal point method and its two variants
for monotone vector fields in Hadamard spaces.
Before obtaining our results, we investigate some fundamental properties
of tangent spaces, resolvents, and monotone vector fields in such spaces. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_01354 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | The proximal point method and its two variants for monotone vector fields in Hadamard spaces Chaipunya, Parin Kohsaka, Fumiaki Functional Analysis Metric Geometry Optimization and Control We prove existence and convergence of sequences generated by the proximal point method and its two variants for monotone vector fields in Hadamard spaces. Before obtaining our results, we investigate some fundamental properties of tangent spaces, resolvents, and monotone vector fields in such spaces. |
| title | The proximal point method and its two variants for monotone vector fields in Hadamard spaces |
| topic | Functional Analysis Metric Geometry Optimization and Control |
| url | https://arxiv.org/abs/2605.01354 |