List questions from fixed-point-theorems

Published on 25 Mar 2021 - 12:52

46

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fixed point of matrices on the projective space

Published on 30 Mar 2021 - 10:45

738

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Knowing when the Logistic map sequence converges for all initial guesses

Published on 30 Mar 2021 - 21:41

77

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Iterative algorithm to find fixed points of Lipschitz continuous operators

Published on 01 Apr 2026 - 16:29

40

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Does a pertubed Fixed Point Iteration as ODE converge?

Published on 01 Apr 2021 - 13:31

48

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Help understanding Browder fixed-point theorem

Published on 06 Apr 2021 - 13:19

150

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Fixed points for operators in Hölder spaces: Why is merely being a self-map of a ball not enough?

Published on 26 Feb 2026 - 12:26

368

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Trapezoidal method using fixed point iteration

Published on 23 Feb 2026 - 20:35

2.6k

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What is a contractive mapping vs contraction mapping?

Published on 16 Apr 2021 - 2:28

192

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Does the sequence $x_{n+1}=x_n+x_n^2$ converge to $0$ whenever $-1\lt x_0\lt0$?

Published on 27 Mar 2026 - 15:36

162

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Banach fixed point theorem in $\mathbb R^n$

Published on 26 Mar 2026 - 3:00

102

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Prove there exists $c$ on $(a,b)$ such that $cf(c) = ab$ for all continuous $f$.

Published on 18 Apr 2021 - 17:10

73

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Average of all $a_n$ where $a_0$=1, $a_{n+1}=\omega^{a_n}$, and $\omega=\frac{\pi i}{\ln(2)}$

Published on 27 Mar 2026 - 17:06

45

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Showing that $F(x) = x + f(x)$ defines a homeomorphism when $f : E \to E$, and where $E$ is a Banach space.

Published on 21 Apr 2021 - 9:22

56

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Fixed point theorems including some linear differential equations

Published on 23 Apr 2021 - 8:30

List Question

Composition $f^n$ is a contraction $\implies f$ possesses a fix point.

fixed point of matrices on the projective space

Knowing when the Logistic map sequence converges for all initial guesses

Iterative algorithm to find fixed points of Lipschitz continuous operators

Does a pertubed Fixed Point Iteration as ODE converge?

Help understanding Browder fixed-point theorem

Fixed points for operators in Hölder spaces: Why is merely being a self-map of a ball not enough?

Trapezoidal method using fixed point iteration

What is a contractive mapping vs contraction mapping?

Does the sequence $x_{n+1}=x_n+x_n^2$ converge to $0$ whenever $-1\lt x_0\lt0$?

Banach fixed point theorem in $\mathbb R^n$

Prove there exists $c$ on $(a,b)$ such that $cf(c) = ab$ for all continuous $f$.

Average of all $a_n$ where $a_0$=1, $a_{n+1}=\omega^{a_n}$, and $\omega=\frac{\pi i}{\ln(2)}$

Showing that $F(x) = x + f(x)$ defines a homeomorphism when $f : E \to E$, and where $E$ is a Banach space.

Fixed point theorems including some linear differential equations

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