Kmart in Australia has been owned by Coles Australia since 1978, and since 1994 has had no association with the US Kmart.

It's very successful in Australia.

Additional, Australia has a Target that isn't at all related to Target US.

Which also now owned by the same owners of Kmart (Coles Group, now owned by Wesfarmers).

And both Kmart and Target Australia operations have merged (though still operating 2 separate brands)