Question

Proving that $f$ has a fixed point on the closed unit disk

score 1k · Answer 1 · 2019-11-15 18:39:58

1k

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Proving that $f$ has a fixed point on the closed unit disk

Published on 15 Nov 2019 - 18:39

score 497 · Answer 2 · 2019-11-16 15:53:04

497

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Find all functions $f$ such that $f:\mathbb{R}\rightarrow \mathbb{R}$ and $f\big(f(x)-x+y^2\big)=yf(y)$.

Published on 16 Nov 2019 - 15:53

score 22 · Answer 3 · 2026-03-25 11:08:42

22

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Joining points in $xy-$plane

Published on 25 Mar 2026 - 11:08

score 645 · Answer 4 · 2019-11-22 06:51:58

645

Views

Relationship between fixed point of differential equation and fixed point of iterated map

Published on 22 Nov 2019 - 6:51

score 1.1k · Answer 5 · 2019-11-26 18:16:03

1.1k

Views

Let $f$ be a continuous function such that $f((a,b))\subset [a,b]$ show that there exists $c \in [a,b]$ such that $f(c)=c$

Published on 26 Nov 2019 - 18:16

score 143 · Answer 6 · 2026-03-25 07:49:11

143

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What are the fixed-point free subgroups of $\mathrm U(2)$?

Published on 25 Mar 2026 - 7:49

score 35 · Answer 7 · 2019-12-11 16:22:41

35

Views

$|\phi'(x)<1|$ is sufficient to show that $\phi$ is a contraction, so is $\phi'(x)>1$ sufficient to show $\phi$ isn't a contraction?

Published on 11 Dec 2019 - 16:22

score 129 · Answer 8 · 2019-12-12 10:40:56

129

Views

Prove that a countable inductive poset is directed complete.

Published on 12 Dec 2019 - 10:40

score 18 · Answer 9 · 2019-12-12 11:46:09

18

Views

Characterization of the least fixed point of a function$\pi$ on $\mathcal{P}(A)$ where $\pi(X) := \{y \in A | (\forall x<y)[x \in X] \}$

Published on 12 Dec 2019 - 11:46

score 75 · Answer 10 · 2019-12-12 18:03:43

75

Views

Why is $\Lambda:=\text{Orb}(q)\cup\{p\}$ a hyperbolic set? [see added link in post]

Published on 12 Dec 2019 - 18:03

score 46 · Answer 11 · 2019-12-16 18:10:32

46

Views

How does the map $X_{n}^3=7X_{n-1}+6$ reach the fixed point -1?

Published on 16 Dec 2019 - 18:10

score 1.5k · Answer 12 · 2026-03-25 17:21:29

1.5k

Views

Möbius transformation with exactly one fixed point is conjugate to the translation $z \to z+1$

Published on 25 Mar 2026 - 17:21

score 49 · Answer 13 · 2019-12-23 19:14:24

49

Views

Computing x-ray for coadjoint U(3) orbit

Published on 23 Dec 2019 - 19:14

score 70 · Answer 14 · 2019-12-29 16:28:50

If $f: \mathbb R \to \mathbb R$ and $f$ is continuous and for every real value of $x : f(f(x))=x$ , prove that there is a $c$ where $f(c)=c$

score 128 · Answer 15 · 2019-12-31 03:00:03

128

Views

The intersections of a convex function and y=x

Published on 31 Dec 2019 - 3:00

List Question

Proving that $f$ has a fixed point on the closed unit disk

Find all functions $f$ such that $f:\mathbb{R}\rightarrow \mathbb{R}$ and $f\big(f(x)-x+y^2\big)=yf(y)$.

Joining points in $xy-$plane

Relationship between fixed point of differential equation and fixed point of iterated map

Let $f$ be a continuous function such that $f((a,b))\subset [a,b]$ show that there exists $c \in [a,b]$ such that $f(c)=c$

What are the fixed-point free subgroups of $\mathrm U(2)$?

$|\phi'(x)<1|$ is sufficient to show that $\phi$ is a contraction, so is $\phi'(x)>1$ sufficient to show $\phi$ isn't a contraction?

Prove that a countable inductive poset is directed complete.

Characterization of the least fixed point of a function$\pi$ on $\mathcal{P}(A)$ where $\pi(X) := \{y \in A | (\forall x<y)[x \in X] \}$

Why is $\Lambda:=\text{Orb}(q)\cup\{p\}$ a hyperbolic set? [see added link in post]

How does the map $X_{n}^3=7X_{n-1}+6$ reach the fixed point -1?

Möbius transformation with exactly one fixed point is conjugate to the translation $z \to z+1$

Computing x-ray for coadjoint U(3) orbit

If $f: \mathbb R \to \mathbb R$ and $f$ is continuous and for every real value of $x : f(f(x))=x$ , prove that there is a $c$ where $f(c)=c$

The intersections of a convex function and y=x

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