Lion pretty much views coyotes as prey, rather than competition. Same with Bobcats. Their interaction is different from the way deer respond to them, but they still see them as prey, not rivals. Not their favorite prey, and lions aren't bold, so a pack of coyotes is fairly safe, but that's their normal attitude towards them. Guarded, but...
They will flee from wolves, but coyotes seem to strike them differently.
Territory size varies wildly based on a long list of adjustable factors. Gender of the cat, size of the cat, age of the cat, terrain, prey density, lion population density, hunting pressure, civilization (although that is starting to change), etc. Etc. Etc. There is no fixed average. Dominant males have large territories, overlapping female territories, but rarely overlapping other male's territories. They used to say 5x10 miles for males, 2x4 miles for females. But that's VERY general. Figure females territories are roughly 20% of a male's in the same region.
Cat population is one of the biggest factors in the last 15 years, things are changing from the 'norm' due to increasing population density.
Transient cats (who haven't found a territory to claim yet) can throw off data, because they'll hang around until they're pushed out, then they can move a little, or they can move unbelievable distances. Takes a few observations to determine for sure that a cat is transient.
There's lots more to it, but that's a nutshell.........