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# fixed point

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.:

$f(x)=x.$ |

Related:

BanachFixedPointTheorem, BrouwerFixedPointTheorem, SchauderFixedPointTheorem, FixedPointProperty, TarskiKnasterTheorem

Type of Math Object:

Definition

Major Section:

Reference

## Mathematics Subject Classification

03-00*no label found*

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