Abstract: Some strong convergence theorems of explicit composite iteration scheme for nonexpansive semi-groups in the framework of Banach spaces are established. Results presented in the paper not only extend and improve the corresponding results of Shioji-Takahashi, Suzuki, Xu and Aleyner-Reich, but also give a partially affirmative answer to the open questions raised by Suzuki and Xu.

Key words: nonexpansive semi-group, demi-closed principle, common fixed point, uniformly smooth Banach space, weakly continuous normalized duality mapping