SWhat changed
Extended finite-dimensional fixed-point existence to upper-semicontinuous convex-valued maps.
Scientific scope
The record is Kakutani's sole-author 1941 Duke Mathematical Journal paper and its finite-dimensional hypotheses. It does not absorb later infinite-dimensional extensions, Nash equilibrium or computational fixed-point algorithms.
Evidence
The linked sources identify this contribution and its scope. WRS has not independently reconstructed the scientific claims. The record is Kakutani's sole-author 1941 Duke Mathematical Journal paper and its finite-dimensional hypotheses. It does not absorb later infinite-dimensional extensions, Nash equilibrium or computational fixed-point algorithms.
Contributors
- Shizuo Kakutani · SCIENCE: Named source author of the scoped work; individual effort shares are not measured.
Provisional WRS assessment, edition 2026-10-16.1. Independent expert calibration is pending. This grade does not certify correctness or assign ownership.
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