In　this　work,　we　introduce　a　composite　iterative　scheme　with　Meir-Keeler　contractions　for　nonexpansive　semigroups　in　a　q-uniformly　smooth　and　strictly　convex　Banach　space　which　admits　a　weakly　sequentially　continuous　duality　mapping.　We　also　prove　strong　convergence　theorems　for　the　composite　iterative　schemes.　Our　results　improve　and　extend　several　recent　results.