Since “Fiji” sounds like “Figi”, it’s no wonder people spell it that way too. The Figi Islands, however, is the same nation as The Fiji Islands.
Although quite a bit less common than spelling it “Figi”, Fiji is also misspelled as Fidji. Adding a “d” sound to the first syllable of Fiji doesn’t seem to be consist with common spelling mistakes however the French spell it “Fidji” so prehaps that has something to do this it.
Of course languages other then English make many variations as well. For instance, Spain calls The Fiji Islands, “Islas Fiyi”. Still the most common misspelling is “Figi”. So when you see “Figi Islands” or “Figi Resorts” or “Figi vacations” you can be sure they mean “Fiji”.
You may find that some people say “Fuji” when indeed they mean “Figi” or better yet “Fiji”. Since Fuji is a mountain in Japan they may be confused by having heard that name before.
So when you hear or see the terms Figi, Figian, Figi Islands, Figi island, Figi vacations, Figi vacation, Figi resorts, Figi honeymoons or Figi resort remember that this is referring to the nation of Republic of Fiji Islands located in the South Pacific.