Here are the weekly deals at Publix, valid 5/22 – 5/28. There are some new Publix digital coupons in the matchup. Remember, Publix digital coupons are manufacturer coupons that do not double and can only be used once. If you have not signed up for this program, do so at publix.com. Also keep in mind that most Publix stores (except Florida) double coupons worth $0.50 or less, and all Publix stores accept competitor coupons.