What is recorded here?
Extended Brouwer's fixed-point result to upper-semicontinuous set-valued mappings with nonempty compact convex values on a compact convex domain.
Source-linked catalogue note. A detailed explanatory guide has not yet been prepared for this entry.
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.
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People and systems
Shizuo Kakutani
The named authors contributed to this scoped work; individual effort shares and later applications are not assigned by the byline.
Research locations and affiliations
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Documented countries / regions: United States
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English catalogue narrative
Kakutani: a generalization of Brouwer's fixed-point theorem
Extended Brouwer's fixed-point result to upper-semicontinuous set-valued mappings with nonempty compact convex values on a compact convex domain.
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.
Reading status
This is a source-linked WRS catalogue note. A full explanatory guide and independent scientific reconstruction have not been completed for this entry. Read the identified original work for its complete narrative and arguments.
People and systems
Shizuo Kakutani
The named authors contributed to this scoped work; individual effort shares and later applications are not assigned by the byline.