Asymptotically isometric copies of c_{0} in Musielak-Orlicz spaces

Criteria in order that a Musielak-Orlicz function space (L^Phi) as well as Musielak-Orlicz sequence space (l^Phi) contains an asymptotically isometric copy of (c_0) are given. These results extend some results of [Y.A. Cui, H. Hudzik, G. Lewicki, Order asymptotically isometric copies of (c_0) in the subspaces of order continuous elements in Orlicz spaces, Journal of Convex Analysis 21 (2014)] to Musielak-Orlicz spaces.