Banach's fixed-point theorem

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Banach's fixed-point theorem [¦bä‚näks ‚fikst ‚pȯint ′thir·əm]

(mathematics)

A theorem stating that if a mapping ƒ of a metric spaceEinto itself is a contraction, then there exists a unique elementxofEsuch that ƒx=x. Also known as Caccioppoli-Banach principle.

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