I don't think so. I regularly keep green papaya in my fridge and it has always stayed green. You can eat it that way. It makes a great salad if you shred it and add other veggies like diced tomatoes and shredded carrots. Yum! The traditional dressing is with fish sauce, but you could substitute soy sauce.
All fruit produce ethylene gas as they ripen. Ethylene also makes fruit ripen in return. A fridge cools and contracts ethylene, while a cabinet does not (Boyles Law).
Papayas are in their peak season from June until September, though they are available in supermarkets year round. They are usually harvested while still green, and will then ripen within one to two weeks.
The temperature in the cabinet is higher than in refrigerator and fruit tend to ripen faster in hotter temperatures. Those fruits which are placed in refrigerator are at temperature lower than the room temperature and do not ripen that fast
Having the banana in a plastic bag at room temperature will ripen it sooner than placing it in the refrigerator.
the bags are semipermeable and allow the release of ethylene gas, which is know to cause surrounding fruit the ripen faster. One bad apple...
The skin goes brown faster in the refrigerator, while the fruit does not ripen further.
Oranges generally won't ripen once removed from the tree.
I think you mean an apple will ripen bananas or green tomatoes. The apples as they ripen give off gas that aids and speeds up the ripening of other fruits, like placed in a brown bag with bananas or tomatoes and other fruits. Apples stored in the frige crisper drawer will make other fruits ripen quickly, thus go bad before you use them too.
All fruit produce ethylene gas in order to ripen, so by keeping your apples and bananas together in the open you are speeding up the ripening process. Bananas ripen faster than apples, which is why they spoil first.
Other fruits will not be damaged if placed in a bag with a banana. However, other fruits will ripen faster when placed in a paper bag with a banana. Some may ripen so fast that they spoil.
Ripen
Put it in a sealed brown paper bag until it turns mostly yellow and is slightly soft to the touch. ENJOY