1: κολαφίζω
(Strong's #2852 — Verb — kolaphizo — kol-af-id'-zo )

signifies "to strike with clenched hands, to buffet with the fist" (kolaphos, "a fist"), Matthew 26:67; Mark 14:65; 1—Corinthians 4:11; 2—Corinthians 12:7; 1—Peter 2:20 .

2: ὑπωπιάζω
(Strong's #5299 — Verb — hupopiazo — hoop-o-pee-ad'-zo )

lit., "to strike under the eye" (from hupopion, "the part of the face below the eye;" hupo, "under," ops, "an eye"), hence, to beat the face black and blue (to give a black eye), is used metaphorically, and translated "buffet" in 1—Corinthians 9:27 (AV, "keep under"), of Paul's suppressive treatment of his body, in order to keep himself spiritually fit (RV marg., "bruise"); so RV marg. in Luke 18:5 , of the persistent widow, text, "wear out" (AV, "weary"). See KEEP , WEAR , WEARY.