Minimax Theorems for Possibly Nonconvex Functions
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
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| _version_ | 1866908620778635264 |
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| author | Thieu, Nguyen Nang Yen, Nguyen Dong |
| author_facet | Thieu, Nguyen Nang Yen, Nguyen Dong |
| contents | This paper establishes three minimax theorems for possibly nonconvex functions on Euclidean spaces or on infinite-dimensional Hilbert spaces. The theorems also guarantee the existence of saddle points. As a by-product, a complete solution to an interesting open problem related to continuously differentiable functions is obtained. The obtained results are analyzed via a concrete example. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_26710 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Minimax Theorems for Possibly Nonconvex Functions Thieu, Nguyen Nang Yen, Nguyen Dong Optimization and Control This paper establishes three minimax theorems for possibly nonconvex functions on Euclidean spaces or on infinite-dimensional Hilbert spaces. The theorems also guarantee the existence of saddle points. As a by-product, a complete solution to an interesting open problem related to continuously differentiable functions is obtained. The obtained results are analyzed via a concrete example. |
| title | Minimax Theorems for Possibly Nonconvex Functions |
| topic | Optimization and Control |
| url | https://arxiv.org/abs/2510.26710 |