The phrase "everlasting punishment" means that the punishment will last forever without an end. It implies that the consequences or penalties for one's actions will be eternal and not temporary. Full definition
The sinful believer who professes the unity of God and acknowledges His Prophet thus will not suffer everlasting punishment in Hell, a. view which was diametrically opposite to that of the Kharijites. (religion-online.org)
We come now to say a few words about that disputed subject, the reality of hell and the possibility of everlasting punishment meted out by God. (religion-online.org)
I know that the notion of Hell, a Lake of Fire and everlasting punishment flies in the face of an eternally loving God, it is none the less THERE. (redeeminggod.com)