Let S = {T_s : s in S } be a representation of a semigroup S. We show that the mapping T-mu introduced by a mean on a subspace of l-nifinity (S) inherits some properties of S in Banach spaces and locally convex spaces. The notions of Q-G-nonexpansive mapping and Q-G-attractive point in locally convex spaces are introduced. We prove that T_mu is a Q-G-nonexpansive mapping when T_s is Q-G-nonexpansive mapping for each s in S and a point in a locally convex space is Q-G-attractive point of T_mu if it is a Q-G-attractive point of S.
