He had no children with his first wife or with the aging Zoe. With either Helena or Maria Sklerina he had a daughter named Anastasia, who married Vsevolod I of Kiev in 1046. Constantine's family name Monomachos ("one who fights alone") was inherited by his Kievan grandson, Vladimir II Monomakh. He also took Guarandukht, the daughter of King George I of Georgia, as a mistress.