Construct · 1 fields · 1 citations

Kakutani fixed-point theorem: a standalone construct

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Analysis

an extension of the Brouwer theorem to set-valued maps with convex values, the standard tool for proving that equilibria exist.

In analysis, Kakutani fixed-point theorem refers to an extension of the Brouwer theorem to set-valued maps with convex values, the standard tool for proving that equilibria exist. This meaning comes from Kakutani (1941) in Duke Mathematical Journal.[1]

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Nearby constructs

extension3 fields · 3 citationsjingle · one word, three constructs

References

Kakutani, S. (1941). A generalization of Brouwer’s fixed point theorem. Duke Mathematical Journal, 8(3). https://doi.org/10.1215/s0012-7094-41-00838-4

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