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What sequences in $\Bbb Z[\frac16]$ converge to the fixed point $0$ in $\lvert\cdot\rvert_2$ while being fixed in $\lvert \cdot\rvert_3$?

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#convergence-divergence #p-adic-number-theory #fixed-point-theorems
726
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Rearranging to get an iterative function (fixed point)

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#algebra-precalculus #fixed-point-theorems
1.4k
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Variable in upper bound of sum

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#discrete-mathematics #summation #numerical-methods #fixed-point-theorems #upper-lower-bounds
71
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Must continuous surjection $f:\Bbb Z[\frac16]\to\Bbb Z[\frac16]$, fixed in $\lvert\cdot\rvert_3$, stabilise to approach $0$?

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#convergence-divergence #continuity #p-adic-number-theory #fixed-point-theorems
41
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How does showing $\varphi \circ \iota_{\mathbb S^1}$ homotopic to $\mathrm{Id}_{\mathbb S^1}$ give us a contradiction to $f$ has no fixed points?

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#algebraic-topology #proof-explanation #fixed-point-theorems
121
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Why a map which is close to the identity on the boundary of a disk has a zero?

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#general-topology #algebraic-topology #fixed-point-theorems
191
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Showing that a function is a contraction

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#real-analysis #integration #metric-spaces #fixed-point-theorems
258
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Motivation for Banach Space in Global Picard-Lindelöf

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#real-analysis #ordinary-differential-equations #fixed-point-theorems
49
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Why exists a periodic point?

Published on
#dynamical-systems #fixed-point-theorems
70
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Proving the stability of fixed point

Published on
#induction #fixed-point-theorems
1k
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For a continuous function $f$ satisfying $f(f(x))=x$ has exactly one fixed point

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#real-analysis #analysis #continuity #fixed-point-theorems #fixed-points
95
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Problem in proving fixed point theorem

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#functional-analysis #partial-differential-equations #lp-spaces #fixed-point-theorems #functional-inequalities
85
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Convergence of a fixed point iteration with nonlinearity

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#matrices #convergence-divergence #matrix-equations #fixed-point-theorems #fixed-points
582
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On convergence of a fixed point iteration

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#convergence-divergence #numerical-methods #fixed-point-theorems #fixed-points
26
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initial valued problem

Published on
#real-analysis #ordinary-differential-equations #fixed-point-theorems

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