Timeline for Whether $d_x(t) := \|P_t(x)-x\|_H$ is increasing in $t$ where $P_t:H \to H$ is the proximal operator of a convex function
Current License: CC BY-SA 4.0
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| Feb 13, 2023 at 9:02 | comment | added | dohmatob | Thanks! Indeed, in the Euclidean case $H=\mathbb R^n$, your Lemma 4 answer's my question in the affirmative (by taking $z=0$). The argument though written for the Euclidean case carries over to the Hilbert setting. | |
| Feb 13, 2023 at 2:40 | comment | added | Suvrit | plz. check lemma 4 of arxiv.org/pdf/1109.0258.pdf -- a similar proof should help here. | |
| Feb 11, 2023 at 6:52 | history | edited | dohmatob | CC BY-SA 4.0 |
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| Feb 11, 2023 at 6:32 | history | asked | dohmatob | CC BY-SA 4.0 |