From a compound of hupo and a derivative of optanomai; to hit under the eye (buffet or disable an antagonist as a pugilist), i.e. (figuratively) to tease or annoy (into compliance), subdue (one's passions) -- keep under, weary.
see GREEK hupo
see GREEK optanomai
STRONGS NT 5299: ὑπωπιάζωὑπωπιάζω; (from ὑπώπιον, compounded of ὑπό and ὤψ, ὠπος, which denotes a. that part of the face which is under the eyes;
b. a blow in that part of the face; a black and blue spot, a bruise); properly, to beat black and blue, to smite so as to cause bruises and livid spots (Aristotle, rhet. 3, 11, 15, p. 1413{a}, 20; Plutarch, mor., p. 921 f.; (Diogenes Laërtius 6, 89): τό σῶμα, like a boxer I buffet my body, handle it roughly, discipline it by hardships, 1 Corinthians 9:27; metaphorically, (πόλεις ὑπωπιασμεναι, cities terribly scourged and afflicted by war, bearing the marks of devastation Aristophanes pax 541) to give one intolerable annoyance (`beat one out', 'wear one out'), by entreaties (cf. τέλος, 1 a.), Luke 18:5 (cf. aliquem rogitando obtundat, Terence, Eun. 3, 5, 6).