List questions from contraction-operator

Published on 25 Dec 2017 - 8:13

92

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Looking for a $2\times2$ real matrix $A$ with $Ax$ a contraction for the supremum norm, and not a contraction for the one norm

Published on 11 Jan 2018 - 23:54

82

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Examples of Surjective Contractions on Reals

Published on 09 Aug 2020 - 16:23

453

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Global convergence of Newton's method

Published on 16 Aug 2020 - 18:39

130

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Fixed points for expanding maps.

Published on 17 Aug 2020 - 20:14

283

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$f(x) = x -\frac{ x^2}{2}$ is not a contraction

Published on 04 Sep 2020 - 14:54

105

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Krasnoselskii contraction mapping

Published on 09 Sep 2020 - 11:38

44

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What can be concluded about $f\ $?

Published on 18 Sep 2020 - 6:19

90

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defining a contraction on $C([0,1])$

Published on 24 Sep 2020 - 1:09

139

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$T_1$ and $T_2$ being commuting contractions on a Hilbert space, is $\mathbb{1}-T_1 ^\star T_1-T_2 ^\star T_2+T_1 ^\star T_2 ^\star T_1 T_2$ positive?

Published on 01 Oct 2020 - 7:20

27

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Approximation of T-contraction mapping Inequality

Published on 18 Oct 2020 - 16:34

98

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The inverse continuity as a continuous dependence of a fixed point in terms of a parameter

Published on 20 Oct 2020 - 15:21

33

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Parameterized contractoin mappings

Published on 29 Oct 2020 - 2:24

128

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Using the mean value theorem show uniqueness and monotonicity

Published on 30 Oct 2020 - 12:40

34

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Proving a mapping is a contraction

Published on 01 Nov 2020 - 11:56

List Question

prove there is no integer solution to x^2 -6 = 0 by contradiction

Looking for a $2\times2$ real matrix $A$ with $Ax$ a contraction for the supremum norm, and not a contraction for the one norm

Examples of Surjective Contractions on Reals

Global convergence of Newton's method

Fixed points for expanding maps.

$f(x) = x -\frac{ x^2}{2}$ is not a contraction

Krasnoselskii contraction mapping

What can be concluded about $f\ $?

defining a contraction on $C([0,1])$

$T_1$ and $T_2$ being commuting contractions on a Hilbert space, is $\mathbb{1}-T_1 ^\star T_1-T_2 ^\star T_2+T_1 ^\star T_2 ^\star T_1 T_2$ positive?

Approximation of T-contraction mapping Inequality

The inverse continuity as a continuous dependence of a fixed point in terms of a parameter

Parameterized contractoin mappings

Using the mean value theorem show uniqueness and monotonicity

Proving a mapping is a contraction

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