{"ID":2848162,"CreatedAt":"2026-06-01T04:54:23.091178241Z","UpdatedAt":"2026-06-01T04:54:23.091178241Z","DeletedAt":null,"paper_url":"https://arxiv.org/abs/2510.26710","arxiv_id":"2510.26710","title":"Minimax Theorems for Possibly Nonconvex Functions","abstract":"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.","short_abstract":"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 i...","url_abs":"https://arxiv.org/abs/2510.26710","url_pdf":"https://arxiv.org/pdf/2510.26710v1","authors":"[\"Nguyen Nang Thieu\",\"Nguyen Dong Yen\"]","published":"2025-10-30T17:12:10Z","proceeding":"math.OC","tasks":"[\"math.OC\"]","methods":"[]","has_code":false}