List questions from fixed-point-theorems

Published on 28 Mar 2026 - 6:48

46

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Proof that fixed points of a null field are zero

Published on 26 Mar 2016 - 15:55

687

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Convergence criterion of vector fixed point iteration

Published on 26 Mar 2016 - 17:27

66

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$f:A\rightarrow B$ and $a_n=f(a_{n-1})$ $L=[a_1,a_2,...a_n,...]$ For which $f$ and $a_0$ is $\bar L=B$?

Published on 27 Mar 2016 - 13:22

295

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How to prove convergence of a sequence maximizing a sum of exponential distances?

Published on 28 Mar 2026 - 22:13

2.3k

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If $x_{n+1}=f(x_n)$ and $x_{n+1}-x_n\to 0$, then $\{x_n\}$ converges

Published on 31 Mar 2016 - 12:34

221

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How to confirm that if a function $f\circ f$ is a strong contraction, then $f$ has a fixed point or not?

Published on 02 Apr 2016 - 17:29

195

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How many fixed points are there for $f:[0,4]\to [1,3]$

Published on 03 Apr 2016 - 19:14

230

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Fixed point of a polynomial mapping - what's the relation between the two views

Published on 04 Apr 2016 - 8:15

2.2k

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Suppose $f(z)$ is analytic in the closed unit disc...

Published on 06 Apr 2016 - 13:23

174

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Provinf Orbits are eventually fixed or eventually prime-2-periodic

Published on 02 Apr 2026 - 2:09

109

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Extension of Kakutani's fixed point theorem.

Published on 08 Apr 2016 - 12:50

1.1k

Views

Find if a fixed-point iteration converges for a certain root

Published on 01 Apr 2026 - 5:12

2.1k

Views

How many iterations are required to reduce the convergence error by a factor of 10?

Published on 27 Mar 2026 - 20:17

129

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Understanding fully the proof of the uniqueness of a fixed-point

Published on 02 Apr 2026 - 5:08

List Question

Show that there is an equilibrium point

Proof that fixed points of a null field are zero

Convergence criterion of vector fixed point iteration

$f:A\rightarrow B$ and $a_n=f(a_{n-1})$ $L=[a_1,a_2,...a_n,...]$ For which $f$ and $a_0$ is $\bar L=B$?

How to prove convergence of a sequence maximizing a sum of exponential distances?

If $x_{n+1}=f(x_n)$ and $x_{n+1}-x_n\to 0$, then $\{x_n\}$ converges

How to confirm that if a function $f\circ f$ is a strong contraction, then $f$ has a fixed point or not?

How many fixed points are there for $f:[0,4]\to [1,3]$

Fixed point of a polynomial mapping - what's the relation between the two views

Suppose $f(z)$ is analytic in the closed unit disc...

Provinf Orbits are eventually fixed or eventually prime-2-periodic

Extension of Kakutani's fixed point theorem.

Find if a fixed-point iteration converges for a certain root

How many iterations are required to reduce the convergence error by a factor of 10?

Understanding fully the proof of the uniqueness of a fixed-point

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