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Banach fixed point theorem without using cauchy criterion

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#real-analysis #functional-analysis #inequality #continuity #fixed-point-theorems
783
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Fixed point theorems involving isometries

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#metric-spaces #fixed-point-theorems #isometry
228
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Apply the picard iteration to the first-order equation

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#ordinary-differential-equations #fixed-point-theorems
370
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About the boundary of the Mandelbrot Set

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#fixed-point-theorems
78
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Fixed point iteration does not give me expected value

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#fixed-point-theorems
295
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Do we need _strict_ monotonicity for the fixed point lemma for normal functions?

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#set-theory #ordinals #fixed-point-theorems
119
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successive iteration problem

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#numerical-methods #fixed-point-theorems
124
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Periodic points of $F(x)=\lambda x + \beta x^3$ where $\lambda >1$ and $\beta <0$

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#dynamical-systems #fixed-point-theorems #chaos-theory
56
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Finding the fixed point..

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#matrices #quadratics #transformation #fixed-point-theorems
71
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Solving a linear system $Ax=b$ using iterative methods

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#calculus #linear-algebra #matrices #numerical-methods #fixed-point-theorems
121
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Is the operator $Tf = f(x) - f(x) \int_0^1 f(y) dy$ a contraction?

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#functional-analysis #fixed-point-theorems #contraction-operator
54
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$b)$ what happen if $X$ equals $[0,1) $or $(0,1)$?

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#general-topology #continuity #fixed-point-theorems
728
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How can I approximate the root of $\cos x = x$ with a Taylor series?

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#taylor-expansion #roots #approximation #fixed-point-theorems
207
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Contraction mapping theorem

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#fixed-point-theorems #contraction-operator
102
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Convergence of iteration sequence

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#sequences-and-series #derivatives #convergence-divergence #numerical-methods #fixed-point-theorems

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