A composite explicit iterative process with a viscosity method for Lipschitzian semigroup in a smooth Banach space

We introduce a new explicit composite iteration scheme with a viscosity iteration method for‎ ‎approximating a common fixed point of Lipschitzian semigroup on a‎ ‎compact convex subset of a smooth Banach space‎. ‎We show that the‎ ‎iterative sequence converges strongly to a common fixed point‎ ‎under some parameter controlling conditions‎. ‎Our results extend‎ ‎and improve the recent results by Saeidi [S‎. ‎Saeidi‎, ‎{\em Fixed‎ ‎Point Theory Appl.} (2008) Art‎. ‎ID 363257 17pp.]‎, ‎Zhang et al‎. ‎[S.-S‎. ‎Zhang‎, ‎L‎. ‎Yang and J.-A‎. ‎Liu‎, ‎{\em Appl‎. ‎Math‎. ‎Mech‎. ‎(English Ed.)} {\bf 28} (2007) 1287--1297.] and several others‎.