Convergences of Alternating Projections in CAT($\kappa$) Spaces

Byoung Jin Choi, Un Cig Ji, Yongdo Lim

We establish the asymptotic regularity and the $\Delta$-convergence of the sequence constructed by the alternating projections to closed convex sets in a CAT($\kappa$) space with $\kappa >0$. Fur…