中文摘要：

研究了0.5-平均跟踪的一些性质．我们证明了：如果f是满射且有0.5-平均跟踪性质，则，是链传递的．如果，是等度连续满射且有0.5-平均跟踪性质，则，是拓扑遍历的．

英文摘要：

In this paper, the authors studied some properties of the 0.5-average shadowing.We proved that if the map f is a surjection and has 0.5-average shadowing property, then it is chain transitive; If the map f is equicontinuous and has 0.5-average shadowing property, then it is topologically ergodie.