Kourtney Kardashian & Travis Barker Married (For Real) in Santa Barbara - TMZ

Kourtney Kardashian is a married woman -- she just tied the knot with Travis Barker ...

a sweet-looking black lowrider convertible, which had a sign strapped to the front grill that reads "JUST MARRIED." So yeah, they're legit hitched this time.

where they popped up at a wedding chapel early in the morning and exchanged vows in front of Elvis, but they didn't actually get married for realsies ...

We'd been told differing accounts about whether they were actually married at the time, but as it turns out -- they totally weren't.