Question

Proving that $f$ is a contraction using the mean value theorem

score 175 · Answer 1 · 2020-02-17 16:43:33

175

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Proving that $f$ is a contraction using the mean value theorem

Published on 17 Feb 2020 - 16:43

score 139 · Answer 2 · 2020-02-19 11:25:30

139

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Mapping a rectangle to a scaled and rotated rectangle

Published on 19 Feb 2020 - 11:25

score 1.3k · Answer 3 · 2020-02-26 23:17:34

1.3k

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$f:\mathbb{R}^n\to\mathbb{R}^n$ is a contraction mapping $\iff$ spectral radius of Jacobian is less than one

Published on 26 Feb 2020 - 23:17

score 30 · Answer 4 · 2020-03-05 09:00:16

30

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About fixed point theorems

Published on 05 Mar 2020 - 9:00

score 120 · Answer 5 · 2020-03-11 18:22:21

120

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Does multiplication by a contractive matrix conserves Lipschitz property?

Published on 11 Mar 2020 - 18:22

score 314 · Answer 6 · 2020-04-02 13:29:35

314

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Prob. 7 (c), Sec. 28, in Munkres' TOPOLOGY, 2nd ed: Example of a shrinking map that is not a contraction

Published on 02 Apr 2020 - 13:29

score 302 · Answer 7 · 2020-04-02 18:40:16

302

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Prob. 7 (d), Sec. 28, in Munkres' TOPOLOGY, 2nd ed: Not every shrinking map is a contraction. An example

Published on 02 Apr 2020 - 18:40

score 65 · Answer 8 · 2020-04-06 20:29:35

65

Views

prove if $(T^n x)$ contains a convergent subsequence, then $d(x^, T x^) = d(T x^, T^2 x^)$ for some $x^* \in M$

Published on 06 Apr 2020 - 20:29

score 91 · Answer 9 · 2020-05-07 08:04:51

91

Views

Show that the function $f$ is a contraction

Published on 07 May 2020 - 8:04

score 27 · Answer 10 · 2020-05-15 06:50:17

27

Views

Is $\min$ a non-expansive function?

Published on 15 May 2020 - 6:50

score 140 · Answer 11 · 2020-05-17 17:46:36

140

Views

Find a metric on a compact space so that a transformation becomes a contraction mapping

Published on 17 May 2020 - 17:46

score 171 · Answer 12 · 2020-05-24 11:17:41

171

Views

Can this $2 \times 2$ matrix provide a contraction with respect to some norm?

Published on 24 May 2020 - 11:17

score 37 · Answer 13 · 2020-05-28 21:58:01

37

Views

Is third root of x is contraction mapping?

Published on 28 May 2020 - 21:58

score 582 · Answer 14 · 2020-05-29 07:22:51

582

Views

Give an example of contraction function that has no fixed points.

Published on 29 May 2020 - 7:22

score 73 · Answer 15 · 2020-05-29 21:19:44

73

Views

Proving that transformation is a contraction mapping

Published on 29 May 2020 - 21:19

List Question

Proving that $f$ is a contraction using the mean value theorem

Mapping a rectangle to a scaled and rotated rectangle

$f:\mathbb{R}^n\to\mathbb{R}^n$ is a contraction mapping $\iff$ spectral radius of Jacobian is less than one

About fixed point theorems

Does multiplication by a contractive matrix conserves Lipschitz property?

Prob. 7 (c), Sec. 28, in Munkres' TOPOLOGY, 2nd ed: Example of a shrinking map that is not a contraction

Prob. 7 (d), Sec. 28, in Munkres' TOPOLOGY, 2nd ed: Not every shrinking map is a contraction. An example

prove if $(T^n x)$ contains a convergent subsequence, then $d(x^, T x^) = d(T x^, T^2 x^)$ for some $x^* \in M$

Show that the function $f$ is a contraction

Is $\min$ a non-expansive function?

Find a metric on a compact space so that a transformation becomes a contraction mapping

Can this $2 \times 2$ matrix provide a contraction with respect to some norm?

Is third root of x is contraction mapping?

Give an example of contraction function that has no fixed points.

Proving that transformation is a contraction mapping

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