Preprint in the OpenAI Math release
Fixed Points of Nonexpansive Maps in Reflexive Banach Spaces
OpenAI
Abstract
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.
open until 1 Jan 2028
est. 50% chance this result is independently verified by the end of 2027.
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