The article states ``[Schauder's Fixed Point Theorem] asserts that if C is a nonempty convex closed subset of a Hausdorff topological vector space and is af continuous mapping of C into itself such that is contained in a compact subset of C, then f has a fixed point.'' That's not what is called Schauder's Fixed Point Theorem in most texts in the literature, namely because the latter usually concern Banach spaces. The theorem as stated here is moreover without citation. This is a significant problem, in my view. Where is this purported theorem from, exactly? [[User:Logicdavid|Logicdavid]] ([[User talk:Logicdavid|talk]]) 16:36, 16 April 2025 (UTC)
