Sion's minimax theorem and the proximal point algorithm in Hadamard spaces
Fuente:
arXiv
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| Auteur principal: | |
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| Format: | Preprint |
| Publié: |
2026
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| _version_ | 1866917453260390400 |
|---|---|
| author | Kohsaka, Fumiaki |
| author_facet | Kohsaka, Fumiaki |
| contents | We obtain Sion's minimax theorem in Hadamard spaces and
discuss its applications. Among other things, we study
several fundamental properties of resolvents of
saddle functions in Hadamard spaces. An application to
the proximal point algorithm for minimax problems
in Hadamard spaces are also included. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_00728 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Sion's minimax theorem and the proximal point algorithm in Hadamard spaces Kohsaka, Fumiaki Functional Analysis Metric Geometry Optimization and Control Minimax theorem, saddle point, convex analysis, the proximal point algorithm We obtain Sion's minimax theorem in Hadamard spaces and discuss its applications. Among other things, we study several fundamental properties of resolvents of saddle functions in Hadamard spaces. An application to the proximal point algorithm for minimax problems in Hadamard spaces are also included. |
| title | Sion's minimax theorem and the proximal point algorithm in Hadamard spaces |
| topic | Functional Analysis Metric Geometry Optimization and Control Minimax theorem, saddle point, convex analysis, the proximal point algorithm |
| url | https://arxiv.org/abs/2605.00728 |