Question

$f$ has a fixed point if $\begin{align} \|f(x)-f(y)\|<\|x-y\|\text{ for all }x,y \in E, x\ne y \ . \end{align}$

score 575 · Answer 1 · 2020-12-07 05:57:35

575

Views

$f$ has a fixed point if $\begin{align} \|f(x)-f(y)\|<\|x-y\|\text{ for all }x,y \in E, x\ne y \ . \end{align}$

Published on 07 Dec 2020 - 5:57

score 23 · Answer 2 · 2020-12-08 02:09:35

23

Views

Linear Stability Analysis question on if x should be treated as a function of t?

Published on 08 Dec 2020 - 2:09

score 103 · Answer 3 · 2020-12-11 18:06:09

103

Views

Are these the only real fixed points of the polynomials $(f_n)_{n\ge 1}$ given by $f_1=X^2-1$ and $f_{n+1}=f_n^2-1$?

Published on 11 Dec 2020 - 18:06

score 141 · Answer 4 · 2020-12-12 19:02:41

141

Views

Prove that $T(v) = v,$ for some $v \in \Bbb R^3 \setminus \{0\}.$

Published on 12 Dec 2020 - 19:02

score 88 · Answer 5 · 2026-03-27 02:50:49

88

Views

Lyapunov function construction to look for stable equilibrium

Published on 27 Mar 2026 - 2:50

score 98 · Answer 6 · 2020-12-24 15:21:06

98

Views

If $M$ is a $2n$-dimensional simply connected compact oriented Riemannian manifold, then isometries on $M$ preserving orientation have a fixed point

Published on 24 Dec 2020 - 15:21

score 257 · Answer 7 · 2021-01-04 15:06:02

257

Views

How to find a point on the border of a rectangle

Published on 04 Jan 2021 - 15:06

score 485 · Answer 8 · 2021-01-04 18:38:47

485

Views

Fixed Point Iteration Convergence

Published on 04 Jan 2021 - 18:38

score 290 · Answer 9 · 2021-01-06 01:53:35

290

Views

Explain why at any fixed point in the SIR model should the number of infected individuals be equal to zero?

Published on 06 Jan 2021 - 1:53

score 113 · Answer 10 · 2026-03-27 08:16:54

113

Views

Cycles in algebraic dynamical systems

Published on 27 Mar 2026 - 8:16

score 27 · Answer 11 · 2021-01-07 17:23:28

27

Views

ODE describing a population of $N$ individuals where individuals are either type $A$ or $B$ but not both

Published on 07 Jan 2021 - 17:23

score 130 · Answer 12 · 2021-01-08 21:51:45

130

Views

Why are fixed points of a discrete time system backward-invariant?

Published on 08 Jan 2021 - 21:51

score 498 · Answer 13 · 2021-01-12 23:05:49

498

Views

Fixed Point Iteration Methods - Convergence

Published on 12 Jan 2021 - 23:05

score 395 · Answer 14 · 2021-01-17 10:01:52

395

Views

Banach contraction theorem with composition

Published on 17 Jan 2021 - 10:01

score 45 · Answer 15 · 2021-01-17 22:07:07

45

Views

What is the "purposefulness"/meaning of lattices?

Published on 17 Jan 2021 - 22:07

List Question

$f$ has a fixed point if $\begin{align} \|f(x)-f(y)\|<\|x-y\|\text{ for all }x,y \in E, x\ne y \ . \end{align}$

Linear Stability Analysis question on if x should be treated as a function of t?

Are these the only real fixed points of the polynomials $(f_n)_{n\ge 1}$ given by $f_1=X^2-1$ and $f_{n+1}=f_n^2-1$?

Prove that $T(v) = v,$ for some $v \in \Bbb R^3 \setminus \{0\}.$

Lyapunov function construction to look for stable equilibrium

If $M$ is a $2n$-dimensional simply connected compact oriented Riemannian manifold, then isometries on $M$ preserving orientation have a fixed point

How to find a point on the border of a rectangle

Fixed Point Iteration Convergence

Explain why at any fixed point in the SIR model should the number of infected individuals be equal to zero?

Cycles in algebraic dynamical systems

ODE describing a population of $N$ individuals where individuals are either type $A$ or $B$ but not both

Why are fixed points of a discrete time system backward-invariant?

Fixed Point Iteration Methods - Convergence

Banach contraction theorem with composition

What is the "purposefulness"/meaning of lattices?

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