LetXbe a Banach space with a weak uniform normal structure andCa non-empty convex weakly compact subset ofX. Under some suitable restriction, we prove that every asymptotically regular semigroupT= {T(t) :t?¸S} of selfmappings onCsatisfyinghas a common fixed point, where WCS(X) is the weakly convergent sequence coefficient ofX, andis the exact Lipschitz constant ofT(t).