Belle is pretty out-spoken, while the Beast, although bratty at first, doesn't really seem like the dominant one of the relationship.

Yep.

Yeah, he's pretty tame by the second half of the movie and does whatever she wants.

Odd, considering one is a calm, but outspoken young lady while the other, for most of the film is a beast. She has him wrapped around her finger for the second half so, yeah this one is surprisingly obvious

She can be very stubborn and refuses to back down against him (especially at the beginning of the movie). I wouldn't say Beast is necessarily submissive generally-speaking but more so than Belle in their relationship.

Although I think the Beast can have his moments too.