{"id":"openai-math/Fixed-Points-of-Nonexpansive-Maps-in-Reflexive-Banach-Spaces","pdf":"https://github.com/openai/math/blob/main/preprints/Fixed-Points-of-Nonexpansive-Maps-in-Reflexive-Banach-Spaces-September-24-2026/paper.pdf","url":"https://github.com/openai/math/tree/main/preprints/Fixed-Points-of-Nonexpansive-Maps-in-Reflexive-Banach-Spaces-September-24-2026","tags":["functional-analysis","fixed-point-theory","banach-spaces"],"score":0,"title":"Fixed Points of Nonexpansive Maps in Reflexive Banach Spaces","domain":"Functional analysis","family":"328","origin":"ai-generated","source":"openai-math","authors":["OpenAI"],"reviews":0,"subject":"math.FA","summary":"Every nonexpansive selfmap of a nonempty closed bounded convex subset of a real reflexive Banach space has a fixed point. This resolves the reflexive-space fixed point problem for the given norm.","category":"research","comments":0,"disputed":false,"division":"math","mentions":0,"discussed":0,"published":"2026-09-24","reactions":{},"formalized":true,"family_title":"Nonexpansive fixed points in reflexive Banach spaces"}