{"ID":2866207,"CreatedAt":"2026-06-01T04:54:23.091178241Z","UpdatedAt":"2026-06-01T04:54:23.091178241Z","DeletedAt":null,"paper_url":"https://arxiv.org/abs/2509.21580","arxiv_id":"2509.21580","title":"Characterizations of Strongly Quasiconvex Functions","abstract":"We provide new necessary and sufficient conditons for ensuring strong quasiconvexity in the nonsmooth case and, as a consequence, we provide a proof for the differentiable case. Furthermore, we improve the quadratic growth property for strongly quasiconvex functions.","short_abstract":"We provide new necessary and sufficient conditons for ensuring strong quasiconvexity in the nonsmooth case and, as a consequence, we provide a proof for the differentiable case. Furthermore, we improve the quadratic growth property for strongly quasiconvex functions.","url_abs":"https://arxiv.org/abs/2509.21580","url_pdf":"https://arxiv.org/pdf/2509.21580v1","authors":"[\"Nicolas Hadjisavvas\",\"Felipe Lara\"]","published":"2025-09-25T20:57:07Z","proceeding":"math.OC","tasks":"[\"math.OC\"]","methods":"[]","has_code":false}