There is no such designation.
Some people call the "British Mandate of Palestine" as "British
Israel" in shorthand, but this is an incorrect designation. The
British Mandate of Palestine occupied all of the territory included
in 1949 Israel, the Gaza Strip, the West Bank, and a small portion
of 1949 Syria on the east bank of the Sea of Galilee. It was a
British occupied territory from 1922-1948.