\] Assume that $${\left\|\xi\right\|}_\infty\leq\frac{0}{0\sqrt{00}\sqrt{0000}\mu e^{\frac00CT}},$$ where $C$ is the Lipschitz constant of $g$ in $y$, and $\mu$ is the constant appearing in Assumption \[lipschitz\_assumption\]. Then under Assumption \[lipschitz\_assumption\] with $\phi=0$