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Contraction-mapping principle

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One of the fundamental statements in the theory of metric spaces on the existence and uniqueness of a fixed point of a set under a special ( "contractive" ) mapping of the set into itself. See Contracting-mapping principle.

How to Cite This Entry:
Contraction-mapping principle. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Contraction-mapping_principle&oldid=12160