Let K be a nonempty closed convex subset of a real Banach space E. Let T:={T(t):t≥0} be a strongly continuous semigroup of asymptotically nonexpansive mappings from K into K with a sequence {Lt}⊂[1,∞). Suppose F(T)≠0̸. Then, for a given u∈K there exists a sequence {un}⊂K such that , for n∈N, where tn∈R+, {αn}⊂(0,1) and {Lt} satisfy certa...