WWE publicly states that TNA is not competition, but TNA’s recent announcement that they are taking iMPACT! Wrestling on the road has already resulted in action from WWE. Word is that WWE has started contacting a number of mid-sized arenas to put holds on them for future dates. They are doing this in order to keep TNA from running those venues.
Also, if TNA starts running live each and every week, there is talk of WWE changing their touring schedule and running shows on Thursday nights in similar markets that TNA runs.