Convergence to common fixed point of nonexpansive semigroups

Let E be a uniformly convex Banach space whose norm is uniformly Gateaux differentiable, C be closed convex subset of E, S={T(s):s>=0} be a nonexpansive semigroup on C such that the set of common fixed points of {T(s):s>=0} is nonempty. Let f:C->C be a contraction, {@a"n},{@b"n},{t"n} be real sequences such that 0 "~@a"n=0,lim"n"->"~@b"n=0 and lim"n"->"~t"n=~,y"0@?C. In this paper, we show that the two iterative sequence as follows: x"n=@a"nf(x"n)+(1-@a"n)1t"n@!"0^t^"^nT(s)x"nds,y"n"+"1=@b"nf(y"n)+(1-@b"n)1t"n@!"0^t^"^nT(s)y"ndsconverge strongly to a common fixed point of {T(s):s>=0} which solves some variational inequality when {@a"n},{@b"n} satisfy some appropriate conditions.