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Basic function theory notation: $f_n$, $f^n$ and $f(n)$

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#functions #notation #fixed-point-theorems
176
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Confusion about proving $f$ is not a contraction

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#real-analysis #fixed-point-theorems #contraction-operator
36
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How is the triangle inequality being used here?

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#proof-explanation #fixed-point-theorems
87
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Intersection of sets in Banach convex space

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#general-topology #banach-spaces #fixed-point-theorems
197
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Fixed point method for non-homogeneous ode and pde

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#ordinary-differential-equations #partial-differential-equations #fourier-analysis #systems-of-equations #fixed-point-theorems
48
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Existence of Solution for $Ax+\alpha g(x)=0$

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#real-analysis #functions #nonlinear-optimization #fixed-point-theorems
152
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System of equations and the Brouwer's Fixed-Point Theorem.

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#real-analysis #general-topology #systems-of-equations #fixed-point-theorems
239
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How to explain powers of $(x+1)^{2^n}$ appearing in the Babylonian approximation of $\sqrt x$?

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#fixed-point-theorems
456
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Stability of a fixed point of a discrete dynamical system

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#general-topology #dynamical-systems #fixed-point-theorems #stability-theory #fixed-points
90
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Continuously chosen points on lines in $\mathbb{R}^{n}$

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#geometry #continuity #fixed-point-theorems
902
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Banach fixed-point theorem

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#fixed-point-theorems
52
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For what c is the Banach fixed-point theorem true?

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#numerical-methods #fixed-point-theorems
203
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Coloring the vertices of a decagon

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#group-theory #finite-groups #symmetric-groups #group-actions #fixed-point-theorems
45
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How to prove the existence of these numbers?

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#systems-of-equations #fixed-point-theorems
366
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Proving the Bourbaki–Witt Theorem using Recursion.

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#set-theory #order-theory #ordinals #fixed-point-theorems

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