2 problems

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Bartz et al.'s strong convergence conjecture for the shadow sequence
Let $\{y^k\}$ be the shadow sequence generated in the comonotone Douglas--Rachford framework, with parameters $\alpha$ and $\beta$ . Strong convergence conjecture. The shadow sequen…
Conjecturerefutedmonotone-inclusions operator-splitting optimizationarXiv posted 2 days ago
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Optimal complexity conjecture for monotone inclusion
Consider monotone inclusion problems with an operator whose relevant properties include Lipschitz continuity, cocoercivity, or strong monotonicity, and let $L$ , $m$ , $D$ , and…
Conjectureopenfirst-order-complexity monotone-inclusions variational-inequalitiesarXiv posted 2 days ago

Bartz et al.'s strong convergence conjecture for the shadow sequence