The inequality as follows like the Erdős–Mordell inequality, I found a year ago, and sent the inequality to some people but I no have a proof until now.

Let $ABC$ be a triangle with the centroid $G$, $D$ is the point in the plane. Let $GEF$ is a cevian triangle of $D$. How can prove that:

$$DA+DB+DC \le 2(DG+DE+DF)+3DG$$