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fixed point (Definition)

A fixed point $ x$ of a function $ f\colon X\to X$, is a point that remains constant upon application of that function, i.e.:

$\displaystyle f(x)=x.$



"fixed point" is owned by Mathprof. [ full author list (2) | owner history (1) ]
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See Also: Banach fixed point theorem, Brouwer fixed point theorem, Schauder fixed point theorem, fixed point property, Tarski-Knaster theorem
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Cross-references: point, function
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This is version 6 of fixed point, born on 2002-03-08, modified 2006-09-15.
Object id is 2777, canonical name is FixedPoint.
Accessed 8166 times total.

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AMS MSC: 03-00 (Mathematical logic and foundations :: General reference works )
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