Mariah Carey -- Eat Your Heart Out Nick ... I'm Not Coming Back!

Mariah Carey is clearly influenced by a much younger singer, because she's saying she'll never ever ever get back together with Nick Cannon.

We know Mariah has seen our video of Nick, telling us he's not closing the door on the possibility of giving their marriage another try.

But sources connected with Mariah tell TMZ, she's out of that game. She likes Nick, but there's no chance of a romantic reconciliation.

She's not in the market for anyone right now. Mariah has a residency in Vegas that's just weeks away. She's also into raising the twins. When she's not working she goes to Eleuthera, her private Island in the Bahamas.

It looks like she may have a case of post breakup hotness, right?