Dark Vengeance (1992)

(aka) Warlords 3000. Set in a distant post-apocalyptic future when the environment has been blasted into a poisoned wasteland and society has degenerated to rule by competing hordes of marauding gangs. There is one warrior, though, who fights to bring some semblance of peace and order to the land. When his family is brutally murdered, however, he becomes obsessed with seeking out their killer and taking his revenge.