# fixed point

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

$$f(x)=x.$$ |

Title | fixed point |
---|---|

Canonical name | FixedPoint |

Date of creation | 2013-03-22 12:32:05 |

Last modified on | 2013-03-22 12:32:05 |

Owner | Mathprof (13753) |

Last modified by | Mathprof (13753) |

Numerical id | 9 |

Author | Mathprof (13753) |

Entry type | Definition |

Classification | msc 03-00 |

Related topic | BanachFixedPointTheorem |

Related topic | BrouwerFixedPointTheorem |

Related topic | SchauderFixedPointTheorem |

Related topic | FixedPointProperty |

Related topic | TarskiKnasterTheorem |