Cooked/Dried Fruit

There's a reason they're  known as preserves. Most jams and jellies enjoy a long shelf life because they are high in sugar, which functions as a preservative. Other cooked fruits--applesauce comes to mind--enjoy a similarly long shelf life because they are highly acidic.

Being well preserved, canned cooked fruits don't require refrigeration, though they should be stored in cool, dark places. Once opened, cooked fruits require refrigeration. Exposure to oxygen significantly reduces shelf life, even under refrigerated conditions.