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Royden's proof of a fixed-point theorem

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#functional-analysis #banach-spaces #fixed-point-theorems
147
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Why do fixed point theorems appear all over mathematics?

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#ordinary-differential-equations #soft-question #fixed-point-theorems #motivation
107
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Tao Analysis 2 Lemma 6.6.6 (lemma for inverse function theorem)

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#real-analysis #proof-explanation #fixed-point-theorems
20
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Construct a function that maps onto itself parametrized by permutations?

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#functions #continuity #permutations #fixed-point-theorems #permutation-cycles
47
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Fixed point of $f:[0, 4] \to [1,3]$ such that $f'(x) \neq 1$

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#real-analysis #fixed-point-theorems
117
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Existence of equilibrium in games with non-convex best-response correspondence

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#game-theory #fixed-point-theorems #nash-equilibrium
180
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Why is this a proof for Brouwer's fixed point theorem

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#complex-analysis #proof-explanation #fixed-point-theorems
40
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Question about the fixed point theorem in $\mathbb{R}$

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#real-analysis #banach-spaces #fixed-point-theorems
30
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Maximum interval of definition of $\frac{dy}{dt} = f(t, y) $, where $f \in C^1$, $y(t_0) = y_0 $

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#ordinary-differential-equations #fixed-point-theorems #fixed-points
377
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Convergence of (Modified) Newton's Method with Roots of Multiplicity > 1 - Misunderstandings

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#numerical-methods #taylor-expansion #fixed-point-theorems #newton-raphson
2.3k
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Fixed point iteration VS Bisection

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#fixed-point-theorems #bisection
622
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Lefschetz-Hopf fixed point theorem

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#algebraic-topology #fixed-point-theorems
103
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How does this difference equation (discrete function map) behave?

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#recurrence-relations #fixed-point-theorems #fixed-points
668
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Why is Brouwer’s Fixed Point Theorem considered a result of algebraic topology?

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#algebraic-topology #soft-question #fixed-point-theorems
58
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Understanding the proof of an application of Banach principle of contraction.

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#metric-spaces #proof-explanation #fixed-point-theorems #complete-spaces #contraction-operator

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