Korean site ETNews says that Apple will release three new iPhone models in 2020 - all with OLED displays. There will be a 5.4", 6.1" and 6.7" models.
For the 5.4" and 6.7" models, Apple will rely exclusively on Samsung Display for its AMOLED displays - and will adopt Samsung's Y-OCTA technology (on-cell touch) which enables thinner panels. ETNews says that SDC offered great terms for Apple to secure the 2020 exclusivity.
The 6.1" OLED models will use film-touch (as used in all OLED iPhones to date) and these OLEDs will be supplied by both Samsung and LG Display. LG Display is already supplying Apple with some of its 6.5" 2688x1242 OLEDs used in the iPhone 11 Pro Max.