Schwarz Lemma for VT harmonic map

In this paper, we obtained Schwarz Lemma of $VT$ harmonic map including distance decreasing property and volume decreasing property under some conditions about the eigenvalue of $du^{+} \circ du$, $T$ and the lower bound of $Ric_f^N$ or $Ric_V^N$. We generalized Schwarz lemma of $V$ harmonic map.