Before revision:  The universal bound and the stability result for the locally Lipschitz BSDEs with coefficients in the BMO space enable us to show the strong convergence of a sequence of globally Lipschitz BSDEs .
After revision:  The universal bound and the stability result for the locally Lipschitz BSDEs with coefficients in BMO space enable us to show the strong convergence of a sequence of globally Lipschitz BSDEs .