List questions from fixed-point-theorems

Published on 01 Jun 2016 - 0:05

61

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Fixed Point in the Space of Rational Functions

Published on 31 Mar 2026 - 17:19

1.2k

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Open ball does not have fixed point

Published on 12 Jun 2016 - 8:03

604

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Example of contraction mapping theorem failing for strict metric map

Published on 15 Jun 2016 - 10:08

792

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Can there be a limit cycle without a fixed point in 3D space?

Published on 16 Jun 2016 - 18:27

94

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Proving a function isn't homotopic to a map to the boundary

Published on 17 Jun 2016 - 13:23

183

Views

Show there exists $C\in\Bbb{R}^n$ such that $|C-A_i|=|B-A_i|+u_i$, with $A_i,B\in \Bbb{R}^n$ and $u_i$ close enough to $0$

Published on 29 Mar 2026 - 4:26

2k

Views

Prove that a function is contractive

Published on 23 Jun 2016 - 23:04

123

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Complete a proof that $F(x,y)$ is contracting.

Published on 25 Mar 2026 - 19:59

93

Views

A Bending Buzz Wire Game

Published on 28 Mar 2026 - 1:05

972

Views

Using Fixed point iterations for solving system of linear equations

Published on 25 Mar 2026 - 21:30

51

Views

Function with unique fixed point of all orders

Published on 29 Mar 2026 - 17:33

426

Views

Unique solution to $x^4 + 7x -1 = 0$ on $[0,1]$ (Banach's fixed point theorem)

Published on 12 Apr 2013 - 5:17

1.2k

Views

Generalization of Banach's fixed point theorem

Published on 13 Apr 2013 - 22:14

504

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Connection between codata and greatest fixed points

Published on 16 Apr 2013 - 21:28

List Question

Fixed Point and Contraction Mapping

Fixed Point in the Space of Rational Functions

Open ball does not have fixed point

Example of contraction mapping theorem failing for strict metric map

Can there be a limit cycle without a fixed point in 3D space?

Proving a function isn't homotopic to a map to the boundary

Show there exists $C\in\Bbb{R}^n$ such that $|C-A_i|=|B-A_i|+u_i$, with $A_i,B\in \Bbb{R}^n$ and $u_i$ close enough to $0$

Prove that a function is contractive

Complete a proof that $F(x,y)$ is contracting.

A Bending Buzz Wire Game

Using Fixed point iterations for solving system of linear equations

Function with unique fixed point of all orders

Unique solution to $x^4 + 7x -1 = 0$ on $[0,1]$ (Banach's fixed point theorem)

Generalization of Banach's fixed point theorem

Connection between codata and greatest fixed points

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