How to project onto the intersection of a closed affine subspace and a hyperplane

Heinz H. Bauschke, Dayou Mao, Walaa M. Moursi

Let $A$ be a closed affine subspace and let $B$ be a hyperplane in a Hilbert space. Suppose we are given their associated nearest point mappings $P_A$ and $P_B$, respectively. We p…