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Phrasing $\lim_{n \to \infty}A^n v = w \implies Aw=w$ as a consequence of Banach's Fixed Point Theorem

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#linear-algebra #metric-spaces #fixed-point-theorems
28
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A problem with defining a norm to get a contraction

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#real-analysis #functional-analysis #hilbert-spaces #fixed-point-theorems
123
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tetration as an iterative solution for the transcendental equation $\sqrt[x]{x}=y$

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#real-analysis #fixed-point-theorems #tetration
258
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Fixed point theorems, convexity, contractibility

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#general-topology #banach-spaces #fixed-point-theorems #topological-vector-spaces
110
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Contractive sequence together with not contract mapping

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#real-analysis #fixed-point-theorems #contraction-operator
73
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how to find value of iterative updates convergence

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#matrices #numerical-methods #dynamical-systems #numerical-linear-algebra #fixed-point-theorems
48
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How I can solve $s(n)=n+s(n-1)$ by iteration method?

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#fixed-point-theorems
109
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Idempotence of iterating a function

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#functions #fixed-point-theorems #lambda-calculus #fixed-points
16
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How to get asymptotic solution for vector iteration process as $f^{n+1}=B G B^T f^{n}$?

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#linear-algebra #fixed-point-theorems
435
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Brouwer and Banach fixed point for $x\mapsto f(x)= \frac{e^x}{1+e^x}$

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#calculus #real-analysis #fixed-point-theorems
688
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Intuition behind the Banach fixed-point theorem

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#real-analysis #sequences-and-series #analysis #functions #fixed-point-theorems
1.2k
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Finding g(x) for Fixed Point Iteration

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#trigonometry #numerical-methods #fixed-point-theorems #fixed-points
1.2k
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Sets homeomorphic to convex sets

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#real-analysis #general-topology #algebraic-topology #fixed-point-theorems
62
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A question regarding the fixed point of the Banach theorem

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#real-analysis #fixed-point-theorems #fixed-points
356
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Studying Muller's example of IVP with unique solution whose Picard iterates do not converge.

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#ordinary-differential-equations #reference-request #fixed-point-theorems #initial-value-problems

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