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Fixed point (mathematics)

In mathematics, a fixed point (sometimes shortened to fixpoint), also known as an invariant point, is a value that does not change under a given transformation. Specifically, for functions, a fixed point is an element that is mapped to itself by the function. Any set of fixed points of a transformation is also an invariant set.

Applications, Fixed point of a group action & Topological fixed point property

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Overview

Fixed point of a function

Fixed point iteration

Fixed-point theorems

Fixed point of a group action

Topological fixed point property

Fixed points of partial orders

Fixed-point combinator

Fixed-point logics

Applications

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Fixed point (mathematics)

Nodes98
Edges97
Triples0
Avg. degree1.98
Density0.020408
Components1

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fixed point function fixed-point points displaystyle also theorem fpp transformation functions one theory set invariant iteration least group domain example

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