{ "id": "1812.06826", "version": "v1", "published": "2018-12-17T15:14:31.000Z", "updated": "2018-12-17T15:14:31.000Z", "title": "Minimax theorems in a fully non-convex setting", "authors": [ "Biagio Ricceri" ], "categories": [ "math.OC", "math.FA" ], "abstract": "In this paper, we establish two minimax theorems for functions $f:X\\times I\\to {\\bf R}$, where $I$ is a real interval, without assuming that $f(x,\\cdot)$ is quasi-concave. Also, some related applications are presented.", "revisions": [ { "version": "v1", "updated": "2018-12-17T15:14:31.000Z" } ], "analyses": { "keywords": [ "minimax theorems", "fully non-convex setting", "real interval", "quasi-concave" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }