Summary: We show strong and
convergence for Mann iterations of a multivalued nonexpansive mapping whose domain is a nonempty closed convex subset of a CAT(0) space. The results we obtain are analogs of Banach space results by Y.–S. Song
and H.–J. Wang
[Nonlinear Anal., Theory Methods Appl. 70, No. 4 (A), 1547–1556 (2009; Zbl 1175.47063
); Comput. Math. Appl. 55, No. 12, 2999–3002 (2008; Zbl 1142.47344
)]. Strong convergence of Ishikawa iterations is also included.