Abstract
In this paper, we investigate the common fixed points set of nonexpansive semigroups of nonlinear mappings {T-t}(t >= 0), i.e., a family such that T-0(x) = x, T-s (broken vertical bar) (t) = T-s(T-t(x)), where the domain is a metric space (M, d). In particular we prove that under suitable conditions, the common fixed points set is the same as the common fixed points set of two mappings from the family. Then we use the modified Mann iteration process to approximate such common fixed points.