  We provide an enumerative meaning of the mirror maps for toric Calabi-Yau
orbifolds in terms of relative Gromov-Witten invariants of the toric
compactifications. As a consequence, we obtain an equality between relative
Gromov-Witten invariants and open Gromov-Witten invariants. Therefore, the
instanton corrected mirrors for toric Calabi-Yau orbifolds can be constructed
using relative Gromov-Witten invariants.
