Is is OK to use Australasia as a continent over Australia? Or Oceania over both?

If Australia is regarded as a continent, major countries like New Zealand and Papua New Guinea will be left without a continent. And when Oceania is used, it will include some Asian Islands that lie in the pacific.
Answers

Bill-M

Australia is the Name of the Continent. Places like New Zealand and PNG are Islands and don't have to belong to a Continent. Oceania is NOT a Continent. It is an AREA.