Banach's fixed-point theorem
Banach's fixed-point theorem
[¦bä‚näks ‚fikst ‚pȯint ′thir·əm] (mathematics)
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.
References in periodicals archive
Some characteristics of multi-metric spaces are obtained and the
Banach's fixed-point theorem is generalized in this paper.
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