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What are some applications of fixed point theorems?

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#fixed-point-theorems #banach-fixed-point
192
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Brouwer's fixed point theorem

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#fixed-point-theorems
66
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Fixed Point Iterations of F(X) = (S + KX) / (K + X), S > 0

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#radicals #cauchy-sequences #fixed-point-theorems #rational-functions
41
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Can I prove there are more than 1 fixed points of an affine map?

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#fixed-point-theorems
26
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Fixed point of closed disk

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#algebraic-topology #fixed-point-theorems
2.9k
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What is the classification of a fixed point if the trace and determinant are equal?

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#dynamical-systems #fixed-point-theorems #stability-in-odes
207
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Trying to get a hold on this paper Fixpoint induction and proofs of program properties. D. PARK

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#reference-request #fixed-point-theorems #fixed-points
44
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$2$-cycles of the map. Suppose that $f(p)=q$ and $f(q)=p$

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#dynamical-systems #fixed-point-theorems #stability-in-odes
88
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trying to find the fixed points, stability, and then trying to see what it converges to.

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#dynamical-systems #fixed-point-theorems
103
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Prove that two paths connected from opposite sides of a square must interesect.

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#general-topology #algebraic-topology #fixed-point-theorems
448
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Understanding a proof about contraction mapping theorem

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#real-analysis #metric-spaces #supremum-and-infimum #fixed-point-theorems #banach-fixed-point
51
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Find position knowing 2 points and distances to those points

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#general-topology #trigonometry #coordinate-systems #fixed-point-theorems
47
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Speed of convergence of an iterative method

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#numerical-methods #fixed-point-theorems
59
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If a contractive map has a fixed point, is it necessarily unique?

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#fixed-point-theorems
46
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Fixed points of the equation $x' = rx \ln(K/x)$

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#fixed-point-theorems

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