In Greek mythology, Amphimachus (Ancient Greek Ἀμφίμαχος) son of Cteatus and Theronice is one of the four Epeian leaders at Troy — of the blood of Actor — who brings ten ships from Elis with Thalpius, Diores, and Polyxenus. Hector spears him in the breast in Iliad Book 13.
Adapted from Wikipedia, "Amphimachus (son of Cteatus)" · CC BY-SA 4.0
I.Epeian captain
Homer (Iliad 2.615–624) sets Amphimachus and Thalpius, of Actor's blood — sons of Cteatus and Eurytus — among the four leaders of the Epeians who held Buprasium and Elis; ten swift ships follow each captain. Apollodorus and Pausanias keep the same Elean genealogy through the Moliones.
In Book 13 Hector smites Amphimachus son of Cteatus in the breast as he comes into battle; the hero falls and Hector rushes to strip his helm until Ajax thrusts him back. Stichius and Menestheus carry Amphimachus' body to the Achaean host; Poseidon, kinsman through the Actorid line, is angered by the death.
II.Homonym care
The atlas id amphimachus-epeian is Cteatus' Elean captain alone. Distinct from amphimachus-nomionid (Carian son of Nomion), from Electryon's son Amphimachus, and from the Dulichian / Ithacan suitor namesakes.