Question

Proving that the set of fixed points of a nonexpansive operator on a bounded closed convex subset of a Hilbert space is convex

score 212 · Answer 1 · 2022-10-08 13:39:56

212

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Proving that the set of fixed points of a nonexpansive operator on a bounded closed convex subset of a Hilbert space is convex

Published on 08 Oct 2022 - 13:39

score 101 · Answer 2 · 2022-10-09 10:25:06

101

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Which field of mathematics does Brouwer's Fixed Point Theorem belong to?

Published on 09 Oct 2022 - 10:25

score 131 · Answer 3 · 2022-10-13 12:06:02

131

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Is there any application of Banach fixed point theorem in number theory?

Published on 13 Oct 2022 - 12:06

score 87 · Answer 4 · 2022-10-14 09:57:28

87

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Show that equation has solution (Fixed Point Theorem)

Published on 14 Oct 2022 - 9:57

score 63 · Answer 5 · 2026-03-26 10:58:03

63

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Solve $\ln(4x) = x$ using the Banach contraction theorem

Published on 26 Mar 2026 - 10:58

score 47 · Answer 6 · 2026-03-28 03:25:23

47

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Converting equation for Fixed Point Approximation Method

Published on 28 Mar 2026 - 3:25

score 123 · Answer 7 · 2022-10-22 21:16:52

123

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A continuum of fixed points?

Published on 22 Oct 2022 - 21:16

score 77 · Answer 8 · 2022-10-23 17:01:58

Show using Banach's fpt that the equation $f(x)=x^2+ \int_{0}^1 \frac{1}{10+|x-t|^2}(f(t)+1)^2 \ dt, \ x \in [0,1],$ has a solution in $C([0,1])$.

score 439 · Answer 9 · 2022-10-23 22:08:11

439

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Counterexample to Brouwer Fixed Point Theorem in $\ell_{\infty}$ space

Published on 23 Oct 2022 - 22:08

score 66 · Answer 10 · 2022-10-25 00:35:57

66

Views

Spivak, Ch. 22, "Infinite Sequences", Problem 26f: Understanding the solution manual solution

Published on 25 Oct 2022 - 0:35

score 108 · Answer 11 · 2026-04-04 13:40:16

108

Views

Why must the stationary state vectors rotate?

Published on 04 Apr 2026 - 13:40

score 60 · Answer 12 · 2026-04-04 00:56:00

60

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Generalized Tarski fixed point theorem to multivariate functions

Published on 04 Apr 2026 - 0:56

score 39 · Answer 13 · 2026-04-01 22:54:25

39

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Is the following proof about the Nice Young functions (a type of convex function) true?

Published on 01 Apr 2026 - 22:54

score 69 · Answer 14 · 2022-11-07 01:35:39

69

Views

Better choice of convergence for different numerical methods

Published on 07 Nov 2022 - 1:35

score 73 · Answer 15 · 2026-03-28 05:20:50

73

Views

Proof Under Fixed Point Theorem

Published on 28 Mar 2026 - 5:20

List Question

Proving that the set of fixed points of a nonexpansive operator on a bounded closed convex subset of a Hilbert space is convex

Which field of mathematics does Brouwer's Fixed Point Theorem belong to?

Is there any application of Banach fixed point theorem in number theory?

Show that equation has solution (Fixed Point Theorem)

Solve $\ln(4x) = x$ using the Banach contraction theorem

Converting equation for Fixed Point Approximation Method

A continuum of fixed points?

Show using Banach's fpt that the equation $f(x)=x^2+ \int_{0}^1 \frac{1}{10+|x-t|^2}(f(t)+1)^2 \ dt, \ x \in [0,1],$ has a solution in $C([0,1])$.

Counterexample to Brouwer Fixed Point Theorem in $\ell_{\infty}$ space

Spivak, Ch. 22, "Infinite Sequences", Problem 26f: Understanding the solution manual solution

Why must the stationary state vectors rotate?

Generalized Tarski fixed point theorem to multivariate functions

Is the following proof about the Nice Young functions (a type of convex function) true?

Better choice of convergence for different numerical methods

Proof Under Fixed Point Theorem

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