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How can I show that the unique fixed point of a composition of continuous functions implies another unique fixed point?

score 73 · Answer 1 · 2024-01-28 22:35:49

73

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How can I show that the unique fixed point of a composition of continuous functions implies another unique fixed point?

Published on 28 Jan 2024 - 22:35

score 73 · Answer 2 · 2024-01-29 12:38:39

73

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How to deduct Newton's method heuristically

Published on 29 Jan 2024 - 12:38

score 171 · Answer 3 · 2024-01-31 02:24:05

171

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Definition of attracting fixed points in dynamical systems [book: Brin and Stuck]

Published on 31 Jan 2024 - 2:24

score 41 · Answer 4 · 2024-02-11 04:43:51

41

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Does there exist a non-trivial power series that equals its own coefficients on the positive integers?

Published on 11 Feb 2024 - 4:43

score 22 · Answer 5 · 2024-02-25 17:30:44

22

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Grimmett and Stirzaker P57 (Letter Matching) updated

Published on 25 Feb 2024 - 17:30

score 33 · Answer 6 · 2024-03-16 13:01:46

33

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How to formulate the line segment drawn from the left vertex point of the ellipse?

Published on 16 Mar 2024 - 13:01

score 67 · Answer 7 · 2024-03-16 22:41:20

67

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numerically solving for the fixed points of a system of nonlinear ODEs

Published on 16 Mar 2024 - 22:41

score 33 · Answer 8 · 2024-03-19 10:19:48

33

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A problem on fixed points in complex

Published on 19 Mar 2024 - 10:19

score 38 · Answer 9 · 2024-03-23 20:01:11

38

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Why is a repelling fixed point also an isolated fixed point?

Published on 23 Mar 2024 - 20:01

score 40 · Answer 10 · 2024-03-31 06:04:15

40

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If $p$ is a fixed point of a $C^1$ map $f:\Bbb R\to\Bbb R$, and $|f'(p)| < 1$, then $p$ is an attracting fixed point

Published on 31 Mar 2024 - 6:04

score 21 · Answer 11 · 2024-03-31 22:52:58

21

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How to find function $G(v_i)$, such that $\mathbb{P}\big[{\psi}(G(v_i))\big]= \frac{1}{G(v_i)}$. Is this a fixed-point problem?

Published on 31 Mar 2024 - 22:52

score 1.9k · Answer 12 · 2015-03-27 12:00:43

1.9k

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How to compute Dottie number accurately?

Published on 27 Mar 2015 - 12:00

score 6.1k · Answer 13 · 2016-04-21 23:49:04

6.1k

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How can it be shown that a Möbius transformation can have at most two fixed points unless it is $f(z) = z$?

Published on 21 Apr 2016 - 23:49

score 1.6k · Answer 14 · 2013-05-11 06:36:18

1.6k

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Strength of attraction of fixed points

Published on 11 May 2013 - 6:36

score 6.7k · Answer 15 · 2013-06-03 03:05:01

6.7k

Views

Contraction Map on Compact Normed Space has a Fixed Point

Published on 03 Jun 2013 - 3:05

List Question

How can I show that the unique fixed point of a composition of continuous functions implies another unique fixed point?

How to deduct Newton's method heuristically

Definition of attracting fixed points in dynamical systems [book: Brin and Stuck]

Does there exist a non-trivial power series that equals its own coefficients on the positive integers?

Grimmett and Stirzaker P57 (Letter Matching) updated

How to formulate the line segment drawn from the left vertex point of the ellipse?

numerically solving for the fixed points of a system of nonlinear ODEs

A problem on fixed points in complex

Why is a repelling fixed point also an isolated fixed point?

If $p$ is a fixed point of a $C^1$ map $f:\Bbb R\to\Bbb R$, and $|f'(p)| < 1$, then $p$ is an attracting fixed point

How to find function $G(v_i)$, such that $\mathbb{P}\big[{\psi}(G(v_i))\big]= \frac{1}{G(v_i)}$. Is this a fixed-point problem?

How to compute Dottie number accurately?

How can it be shown that a Möbius transformation can have at most two fixed points unless it is $f(z) = z$?

Strength of attraction of fixed points

Contraction Map on Compact Normed Space has a Fixed Point

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