Combine garam masala, 1/4 teaspoon salt, and black pepper. Rub both sides of lamb chops with garam masala mixture. Arrange lamb in a single layer on a broiler pan; broil 4 minutes on each side or until desired degree of doneness. Remove from heat; sprinkle lamb with remaining 1/4 teaspoon salt.
While lamb cooks, combine papaya and remaining ingredients; stir well. Serve with lamb.