List questions from contraction-operator

Published on 15 Apr 2026 - 11:47

95

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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 14 Apr 2026 - 8:20

85

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Examples of Surjective Contractions on Reals

Published on 11 Apr 2026 - 16:06

456

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Global convergence of Newton's method

Published on 11 Apr 2026 - 8:53

132

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Fixed points for expanding maps.

Published on 11 Apr 2026 - 9:39

286

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

Published on 16 Apr 2026 - 11:47

108

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Krasnoselskii contraction mapping

Published on 13 Apr 2026 - 4:25

47

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What can be concluded about $f\ $?

Published on 14 Apr 2026 - 15:33

93

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

Published on 15 Apr 2026 - 17:31

142

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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 16 Apr 2026 - 16:34

30

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Approximation of T-contraction mapping Inequality

Published on 13 Apr 2026 - 8:01

101

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

Published on 14 Apr 2026 - 15:15

36

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Parameterized contractoin mappings

Published on 11 Apr 2026 - 11:32

131

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Using the mean value theorem show uniqueness and monotonicity

Published on 14 Apr 2026 - 15:29

37

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Proving a mapping is a contraction

Published on 12 Apr 2026 - 19:29

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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