Question

while $d(x_n, x_{n+1})$ is converges to $0$, proving there exists an $\varepsilon >0$ such that $d(x_{{m_k}-1},x_{n_k}) < \varepsilon $

score 58 · Answer 1 · 2016-02-15 21:22:04

58

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while $d(x_n, x_{n+1})$ is converges to $0$, proving there exists an $\varepsilon >0$ such that $d(x_{{m_k}-1},x_{n_k}) < \varepsilon $

Published on 15 Feb 2016 - 21:22

score 1.3k · Answer 2 · 2016-02-17 00:44:12

1.3k

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score 264 · Answer 3 · 2026-03-28 03:34:47

264

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score 206 · Answer 4 · 2016-02-17 18:28:51

206

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score 486 · Answer 5 · 2016-02-19 20:52:56

486

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score 72 · Answer 6 · 2016-02-21 06:50:06

72

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score 65 · Answer 7 · 2016-02-25 21:20:44

65

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score 392 · Answer 8 · 2016-02-27 15:22:39

392

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Published on 27 Feb 2016 - 15:22

score 2k · Answer 9 · 2016-02-28 10:12:48

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score 2.1k · Answer 10 · 2016-02-28 12:54:08

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score 1.4k · Answer 11 · 2016-02-28 13:41:22

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Published on 28 Feb 2016 - 13:41

score 261 · Answer 12 · 2016-02-28 17:41:11

261

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Published on 28 Feb 2016 - 17:41

score 1.8k · Answer 13 · 2016-02-29 22:07:49

1.8k

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Published on 29 Feb 2016 - 22:07

score 128 · Answer 14 · 2026-03-25 18:30:02

128

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score 101 · Answer 15 · 2026-03-12 11:25:33

101

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List Question

while $d(x_n, x_{n+1})$ is converges to $0$, proving there exists an $\varepsilon >0$ such that $d(x_{{m_k}-1},x_{n_k}) < \varepsilon $

Banach fixed point theorem

Fixed points of contractions in metric spaces

Fixed point of limit equal to limit of fixed points?

Fixed point of a dynamical system

Is this $x \mapsto k^{k^{\frac{-1}{x}}}$ a contraction?

Computing the set of fixed points of a map

Does a fixed point depend smoothly on the parameters?

Using fixed point iteration find the positive root of $f(x)=e^{-x}-x^2$

How to find the number of iteration in Fixed point iteration method?

Fix point of $L:S^2\rightarrow S^2$

Large-time limit of the general solution of an ODE is a fixed-point. Is the fixed-point stable?

Prove there is no contraction mapping from compact metric space onto itself

Degree of infinite dimensinal antipodal map

Range of parameter values for a stability of a fixed point for this 2d map

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