Nonexpansive fixed points in reflexive Banach spaces
What the paper claims, in its own words
Resolves Kirk's reflexive-space fixed-point problem: every nonexpansive selfmap of a nonempty closed bounded convex subset of a real reflexive Banach space has a fixed point. The result uses the original norm, without assuming uniform convexity.
The plain-language explainer for this entry is still coming.
The original paper
- Fixed Points of Nonexpansive Maps in Reflexive Banach Spaces (PDF, opens in a new tab) September 24, 2026 Formal proof listed