Question

prove that $x \mapsto \mathrm e^{-x}$ has a unique fixed point on R

score 186 · Answer 1 · 2014-12-11 10:29:12

186

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prove that $x \mapsto \mathrm e^{-x}$ has a unique fixed point on R

Published on 11 Dec 2014 - 10:29

score 135 · Answer 2 · 2014-12-12 10:42:14

135

Views

Maximum diameter for the preimage of a point when the degree is not 1 or -1

Published on 12 Dec 2014 - 10:42

score 452 · Answer 3 · 2014-12-13 01:09:01

452

Views

Use the Mean Value Theorem to show that if $|f'(x)| ≤ C<1$, then $f$ has at most one fixed point

Published on 13 Dec 2014 - 1:09

score 721 · Answer 4 · 2014-12-13 20:23:35

Proof that a continuous function from the unit ball to itself without fixed points implies existence of retract from unit ball to unit sphere

score 62 · Answer 5 · 2014-12-15 19:18:02

62

Views

Metric Geometry determining fixed points

Published on 15 Dec 2014 - 19:18

score 273 · Answer 6 · 2014-12-16 19:15:49

273

Views

A problem similar to Banach fixed point theorem

Published on 16 Dec 2014 - 19:15

score 1.2k · Answer 7 · 2026-03-25 13:59:54

1.2k

Views

An equation with multiple solutions: finding the maximum of the function of the solutions.

Published on 25 Mar 2026 - 13:59

score 276 · Answer 8 · 2014-12-20 06:31:22

276

Views

When does a continuous function defined on a non-compact closed and bounded convex set has a fixed point?

Published on 20 Dec 2014 - 6:31

score 802 · Answer 9 · 2014-12-22 23:02:55

802

Views

Banach Fixed Point Theorem problem contradiction

Published on 22 Dec 2014 - 23:02

score 659 · Answer 10 · 2014-12-24 01:47:54

659

Views

eventually constant maps

Published on 24 Dec 2014 - 1:47

score 227 · Answer 11 · 2014-12-29 04:47:04

227

Views

$f:\mathbb R \to \mathbb R$ is a differentiable function such that $f'(x)\le r<1 $ , does $f$ necessarily have a fixed point ?

Published on 29 Dec 2014 - 4:47

score 52.8k · Answer 12 · 2014-12-30 12:56:19

52.8k

Views

How can I find the fixed points of a function?

Published on 30 Dec 2014 - 12:56

score 9.4k · Answer 13 · 2015-01-01 21:57:50

9.4k

Views

Blackwell's condition for a contraction: Why is boundedness neccessary?

Published on 01 Jan 2015 - 21:57

score 164 · Answer 14 · 2019-10-12 02:16:53

164

Views

Show $e^{f(x)} = 4x$ has a unique solution using Banach fixed point theorem

Published on 12 Oct 2019 - 2:16

score 35 · Answer 15 · 2019-10-14 17:26:13

35

Views

if $F:X\to X$ is continuous, such that for some $\mu>0$, $\left \langle F(u), u \right \rangle\geq 0$ for all $u\in X$ with $||u||=\mu$

Published on 14 Oct 2019 - 17:26

List Question

prove that $x \mapsto \mathrm e^{-x}$ has a unique fixed point on R

Maximum diameter for the preimage of a point when the degree is not 1 or -1

Use the Mean Value Theorem to show that if $|f'(x)| ≤ C<1$, then $f$ has at most one fixed point

Proof that a continuous function from the unit ball to itself without fixed points implies existence of retract from unit ball to unit sphere

Metric Geometry determining fixed points

A problem similar to Banach fixed point theorem

An equation with multiple solutions: finding the maximum of the function of the solutions.

When does a continuous function defined on a non-compact closed and bounded convex set has a fixed point?

Banach Fixed Point Theorem problem contradiction

eventually constant maps

$f:\mathbb R \to \mathbb R$ is a differentiable function such that $f'(x)\le r<1 $ , does $f$ necessarily have a fixed point ?

How can I find the fixed points of a function?

Blackwell's condition for a contraction: Why is boundedness neccessary?

Show $e^{f(x)} = 4x$ has a unique solution using Banach fixed point theorem

if $F:X\to X$ is continuous, such that for some $\mu>0$, $\left \langle F(u), u \right \rangle\geq 0$ for all $u\in X$ with $||u||=\mu$

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