Banach's fixed-point theorem
Banach's fixed-point theorem[¦bä‚näks ‚fikst ‚pȯint ′thir·əm]
A theorem stating that if a mapping ƒ of a metric space E into itself is a contraction, then there exists a unique element x of E such that ƒ x = x. Also known as Caccioppoli-Banach principle.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.