some notes on mean ergodic shadowing

In this short paper, we study mean ergodic shadowing property and obtain some results in relation with other partial shadowings. we show that f_s-shadowing property does not imply mean ergodic shadowing, and if a contraction mapping has mean ergodic shadowing then it has shadowing property (potp, for short). by giving an example, we show that shadowing property does not imply mean ergodic shadowing