Brouwer Fixed-point Theorem Definition
A theorem which (in one of its simplest forms) states that a continuous function from an n-dimensional unit cube (in \mathbb{R}^n) to itself has a fixed point .
Wiktionary 
Origin of Brouwer Fixed-point Theorem
Named after L. E. J. Brouwer (1881-1966), Dutch mathematician and philosopher.
From Wiktionary
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