Preheat oven to 450 degrees. Arrange pita halves, cut side up, on two baking sheets; brush with oil.
Spread pitas with hummus; top with peppers, artichoke hearts, and lamb. Season with salt and pepper.
Bake until pitas are golden and crisp and lamb is cooked through, about 20 minutes. Sprinkle with parsley; serve with lemon wedges.