Brouwer fixed-point theorem

proper noun

A theorem which (in one of its simplest forms) states that a continuous function from an n-dimensional unit cube (in ℝⁿ) to itself has a fixed point.

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Meanings

proper nounthe Brouwer fixed-point theorem
  1. mathematicsA theorem which (in one of its simplest forms) states that a continuous function from an n-dimensional unit cube (in ℝⁿ) to itself has a fixed point.

Origin

Named after L. E. J. Brouwer (1881–1966), Dutch mathematician and philosopher.

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Cite this entry
APA

Brouwer fixed-point theorem. (n.d.). In WatkinsX Dictionary. Retrieved November 4, 2026, from https://dictionary.watkinsx.com/word/Brouwer%20fixed-point%20theorem

MLA

“Brouwer fixed-point theorem.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/Brouwer%20fixed-point%20theorem. Accessed November 4, 2026.

Chicago

WatkinsX Dictionary, s.v. “Brouwer fixed-point theorem,” accessed November 4, 2026, https://dictionary.watkinsx.com/word/Brouwer%20fixed-point%20theorem.

Source: Brouwer fixed-point theorem on Wiktionary, CC BY-SA 4.0.