6 problems

Costate proportionality conjecture. The costate variables satisfy

Consider the Douglas–Rachford algorithm for the conic feasibility problem in which $f$ is the indicator function of a linear subspace and $g$ is the indicator function of the non-n…

Let $f$ and $g$ be the indicator functions of closed convex cones, and suppose that the relative interiors of the two cones have a nonempty intersection. Finite termination conject…

The paper considers nonempty, closed and convex sets $A$ and $B$ in a Hilbert space and the averaged alternating modified reflections operator … where $\alpha\in(0,1)$ and…

Convergence conjecture. Even though the cited dimension theorem is not applicable, the sequence

Let $X$ be an $N$-dimensional Hilbert space, let $S:=\{x\in X\colon\|x\|=1\}$ be the unit sphere, and let $L:=\{x=\lambda a+\alpha b\colon\lambda\in\mathbb{R}\}$, where $a,b$ are o…