In Greek mythology, Anaxagoras (Ancient Greek Ἀναξαγόρας) is a king of Argos in the native third of the kingdom — son of Argeus (or of Megapenthes) and father of Alector. Melampus cures madness (or a prince's curse) in his reign and exacts two-thirds of Argos for himself and Bias; Anaxagoras' house alone outlasts the Melampid and Biantid shares until Cylarabes reunites the realm.
Adapted from Wikipedia, "Anaxagoras (mythology)" · CC BY-SA 4.0
I.King when Melampus divided Argos
Pausanias and Apollodorus place Anaxagoras as successor of Megapenthes or of Megapenthes' son Argeus. When the women of Argos (or the Proetid princesses) are driven mad by Dionysus, Melampus is summoned; refused at first, he later demands a third of the kingdom for himself and a third for his brother Bias. The same division is sometimes told under Proetus instead. A folkloric variant has Melampus heal Anaxagoras' son of a hamadryad's curse by boiling a sacrificial knife's rust from a tree.
Anaxagoras is succeeded by Alector; his line lasts longer than those of Bias and Melampus and is reunited under its last member, Cylarabes son of Sthenelus.
II.Homonym care
The atlas id anaxagoras-argos is the Argive king alone — never the Presocratic philosopher of the same name.