Let be a closed convex subset of a complete CAT(0) space and be nonexpansive maps with . In addition, let be a sequence satisfying (i) , (ii) , (iii) or . Then, for each , the iterative method given by
converges to some which is nearest to . An extension of this result to countable families of such maps is also given, but under stronger conditions such as (a) , for each bounded subset of , (b) , where , .