Question

Showing a recursively defined sequence is convergent using Banach fixed-point theorem

score 118 · Answer 1 · 2023-05-18 09:34:54

118

Views

Showing a recursively defined sequence is convergent using Banach fixed-point theorem

Published on 18 May 2023 - 9:34

score 74 · Answer 2 · 2026-03-28 15:20:28

74

Views

Will the upper bound $b=2$ work in a simplicial proof of Brouwer's Fixed Point Theorem, Hurewicz' and Wallman's "Dimension Theory"?

Published on 28 Mar 2026 - 15:20

score 24 · Answer 3 · 2023-05-22 10:23:23

24

Views

First order boundary value problem $u'=f(t, u),~ au(t_0) + bu(t_1) = 0$, existence condition

Published on 22 May 2023 - 10:23

score 56 · Answer 4 · 2023-05-22 14:49:23

56

Views

Banach's theorem

Published on 22 May 2023 - 14:49

score 107 · Answer 5 · 2023-05-24 15:58:33

107

Views

How are fixed points and Schwarz lemma related?

Published on 24 May 2023 - 15:58

score 49 · Answer 6 · 2023-05-29 00:00:46

49

Views

Attracting fixed point of discrete multivariable dynamical system

Published on 29 May 2023 - 0:00

score 111 · Answer 7 · 2026-03-25 23:43:59

111

Views

(Evans) Incomplete proof of the existence and uniqueness of weak solutions to a reaction-diffusion system

Published on 25 Mar 2026 - 23:43

score 345 · Answer 8 · 2026-03-26 12:34:41

345

Views

Does a contractible locally connected continuum have an fixed point property?

Published on 26 Mar 2026 - 12:34

score 133 · Answer 9 · 2023-06-02 14:24:06

133

Views

Show $f(x,y)=\left(\frac{\cos x+\cos y-1}{2}, \cos x-\cos y\right)$ has a fixed point using the mean value inequality.

Published on 02 Jun 2023 - 14:24

score 161 · Answer 10 · 2023-06-11 07:00:13

161

Views

Prove fixed point theorem for the reals without using the Intermediate value property?

Published on 11 Jun 2023 - 7:00

score 108 · Answer 11 · 2026-03-25 04:39:38

108

Views

Existence and Uniqueness of Solution to PDE using Banach Fixed Point Theorem

Published on 25 Mar 2026 - 4:39

score 19 · Answer 12 · 2026-03-28 21:44:22

19

Views

Existence of Coupled Functions Defined via Probability Distributions and Their Derivatives

Published on 28 Mar 2026 - 21:44

score 72 · Answer 13 · 2026-03-26 09:42:16

72

Views

Generalization of Kakutani-Ky Fan Theorem without convexity assumptions

Published on 26 Mar 2026 - 9:42

score 89 · Answer 14 · 2023-06-27 16:10:34

89

Views

Application of Banach's theorem

Published on 27 Jun 2023 - 16:10

score 64 · Answer 15 · 2023-06-27 17:41:00

64

Views

Mapping between a contraction space and a complete, bounded, metric space

Published on 27 Jun 2023 - 17:41

List Question

Showing a recursively defined sequence is convergent using Banach fixed-point theorem

Will the upper bound $b=2$ work in a simplicial proof of Brouwer's Fixed Point Theorem, Hurewicz' and Wallman's "Dimension Theory"?

First order boundary value problem $u'=f(t, u),~ au(t_0) + bu(t_1) = 0$, existence condition

Banach's theorem

How are fixed points and Schwarz lemma related?

Attracting fixed point of discrete multivariable dynamical system

(Evans) Incomplete proof of the existence and uniqueness of weak solutions to a reaction-diffusion system

Does a contractible locally connected continuum have an fixed point property?

Show $f(x,y)=\left(\frac{\cos x+\cos y-1}{2}, \cos x-\cos y\right)$ has a fixed point using the mean value inequality.

Prove fixed point theorem for the reals without using the Intermediate value property?

Existence and Uniqueness of Solution to PDE using Banach Fixed Point Theorem

Existence of Coupled Functions Defined via Probability Distributions and Their Derivatives

Generalization of Kakutani-Ky Fan Theorem without convexity assumptions

Application of Banach's theorem

Mapping between a contraction space and a complete, bounded, metric space

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