Apheidas
1. A son of Arcas by Leaneira, or according to others, by Meganeira, Chrysopeleia, or Erato. (The Theogony of Apollodorus III)
When Apheidas and his two brothers had grown up, their father divided his kingdom among them. Apheidas obtained Tegea and the surrounding territory, which was therefore called by poets Apheidantenius. Apheidas had a son, Aleus. (Description of Greece by Pausanias viii. 4. § 2; )
2. Two other mythical personages of this name occur in The Odyssey of Homer xxiv. Metamorphoses by Ovid xii. 317.
From Smith's Dictionary of Greek and Roman Biography and MythologyFrom The Odyssey of Homer Translated S. H. Butcher and A. Lang Book Book XXIV
Then Odysseus of many counsels answered him, saying: 'Yea now, I will tell thee all most plainly. From out of Alybas I come, where I dwell in a house renowned, and am the son of Apheidas the son of Polypemon, the prince, and my own name is Eperitus. But some god drave me wandering hither from Sicania against my will, and yonder my ship is moored toward the upland away from the city. But for Odysseus, this is now the fifth year since he went thence and departed out of my country. Ill-fated was he, and yet he had birds of good omen when he fared away, birds on the right; wherefore I sped him gladly on his road, and gladly he departed, and the heart of us twain hoped yet to meet in friendship on a day and to give splendid gifts.'
From The Argonautica by Apollonius Rhodius
(ll. 161-171) Moreover from Arcadia came Amphidamas and Cepheus, who inhabited Tegea and the allotment of Apheidas, two sons of Aldus; and Ancaeus followed them as the third, whom his father Lycurgus sent, the brother older than both. But he was left in the city to care for Aleus now growing old, while he gave his son to join his brothers. Antaeus went clad in the skin of a Maenalian bear, and wielding in his right hand a huge two-edged battleaxe. For his armour his grandsire had hidden in the house's innermost recess, to see if he might by some means still stay his departure.