List questions from fixed-point-theorems

109

Views

Coefficient cubic for the nested radical equation $\pm \sqrt{n\pm \sqrt{n\pm\sqrt{n\pm \sqrt{n+x}} }}=x$

Published on 31 Mar 2026 - 11:58

134

Views

Finding a function from Newton iteration

Published on 23 Nov 2022 - 5:49

61

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Two contractions with the same fixed point. Show that this sequence is convergent

Published on 27 Feb 2026 - 14:45

140

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show that finite orbit has a periodic point

Published on 28 Mar 2026 - 5:28

107

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$|f(x) - f(y)| \leq c|x - y|$, with $0 < c < 1$, implies $(f^n(x_0))_n$ converges to a fixed point

Published on 28 Nov 2022 - 21:32

87

Views

alternate proof of fixed point theorem

Published on 30 Nov 2022 - 19:39

74

Views

Iterative way to "exactly" compute smallest eigenvalue of AA^T such that it is positive

Published on 05 Dec 2022 - 17:59

69

Views

Prove the existence of a fixed point for the sum of two mappings

Published on 06 Dec 2022 - 15:41

51

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Order of a numerical iteration method

Published on 29 Mar 2026 - 10:18

144

Views

Two contractions with the same fixed point

Published on 27 Feb 2026 - 20:03

53

Views

Finding f(x) for Fixed Point Iteration

Published on 28 Mar 2026 - 6:59

116

Views

Fixed point of 1-Lipschitz functions on compact sets

Published on 03 Apr 2026 - 2:19

79

Views

Fixed point theorem

Published on 28 Mar 2026 - 5:20

81

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Proof of non-convergence of fixed point iteration

Published on 28 Dec 2022 - 16:24

79

Views

Does $f'(x_*)=0\Rightarrow |e_{n+1}|<C|e_n|^2$ in the fixed-point iteration method?

Published on 29 Dec 2022 - 19:39

List Question

Coefficient cubic for the nested radical equation $\pm \sqrt{n\pm \sqrt{n\pm\sqrt{n\pm \sqrt{n+x}} }}=x$

Finding a function from Newton iteration

Two contractions with the same fixed point. Show that this sequence is convergent

show that finite orbit has a periodic point

$|f(x) - f(y)| \leq c|x - y|$, with $0 < c < 1$, implies $(f^n(x_0))_n$ converges to a fixed point

alternate proof of fixed point theorem

Iterative way to "exactly" compute smallest eigenvalue of AA^T such that it is positive

Prove the existence of a fixed point for the sum of two mappings

Order of a numerical iteration method

Two contractions with the same fixed point

Finding f(x) for Fixed Point Iteration

Fixed point of 1-Lipschitz functions on compact sets

Fixed point theorem

Proof of non-convergence of fixed point iteration

Does $f'(x_*)=0\Rightarrow |e_{n+1}|<C|e_n|^2$ in the fixed-point iteration method?

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