In Greek mythology, Anaxibia (Ancient Greek Ἀναξιβία) daughter of Cratieus is Apollodorus' wife of Nestor at Pylos and mother of Pisidice, Polycaste, Perseus, Stratichus, Aretus, Echephron, Peisistratus, Antilochus, and Thrasymedes. Homer instead names Nestor's queen Eurydice daughter of Clymenus — the same household under a disputed wife-name. Distinct from Anaxibia wife of Pelias and from the Atreid sister who mothers Pylades.
Adapted from Wikipedia, "Anaxibia" · CC BY-SA 4.0
I.Apollodorus' queen of Pylos
After Heracles slays Neleus and all his sons save Nestor, Apollodorus (Bibliotheca 1.9.9) has the survivor marry Anaxibia daughter of Cratieus and beget the children who feast in the Odyssey — including Antilochus and Thrasymedes — with daughters Pisidice and Polycaste.
Homer (Odyssey 3.451–452) instead calls Nestor's wife Eurydice, daughter of Clymenus, at the same Pylians' feast. The atlas keeps both names as sourced alternatives for Nestor's queenship (topic nestor-wife-identity) without collapsing Anaxibia into Eurydice.
II.Homonym care
The atlas id anaxibia-nestor is Cratieus' Pylian queen alone. Distinct from anaxibia-pelias (Bias' daughter, wife of Pelias), anaxibia-atreid (mother of Pylades), and the Danaid Anaxibia.