Timeline for Classical fixed-point argument and invertible function
Current License: CC BY-SA 4.0
11 events
| when toggle format | what | by | license | comment | |
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| May 27, 2021 at 17:03 | review | Close votes | |||
| Jun 1, 2021 at 3:05 | |||||
| May 27, 2021 at 16:06 | vote | accept | Oliver Watt | ||
| May 27, 2021 at 14:45 | answer | added | Iosif Pinelis | timeline score: 1 | |
| May 27, 2021 at 13:55 | comment | added | Oliver Watt | Thank you Dirk, that makes sense! | |
| May 27, 2021 at 13:50 | comment | added | Dirk | I guess, that the argument for "$I+f$ invertible" is that $x+f(x)=y$ has a unique solution, since the solutions are fixed points of $x\mapsto y-f(x)$ which is a contraction and Banach's fixed point theorem applies. | |
| May 27, 2021 at 13:21 | history | edited | Oliver Watt | CC BY-SA 4.0 |
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| May 27, 2021 at 13:17 | comment | added | Oliver Watt | $\vert\vert f\vert\vert_{1,\infty} := \vert\vert f\vert\vert_{\infty} + L$, where the first summand is the supremum norm and $L$ is the Lipschitz constant. | |
| May 27, 2021 at 13:16 | history | edited | Oliver Watt | CC BY-SA 4.0 |
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| May 27, 2021 at 13:15 | comment | added | Iosif Pinelis | Thanks. I don't have an access to this book, though. How is $\|f \|_{1,\infty}$ defined? | |
| May 27, 2021 at 13:02 | comment | added | Iosif Pinelis | Can you say what paper/book you are reading? | |
| May 27, 2021 at 11:26 | history | asked | Oliver Watt | CC BY-SA 4.0 |