WordNet records no synonym and no antonym for self-assertion. It is the only member of each of its synsets, which is common for technical, taxonomic and single-sense vocabulary — there is no other English word that means the same thing. The broader and narrower terms below are the useful relations in that case.
Counts are distinct word forms across every sense. A synonym that appears under three senses is counted once here and shown three times below, under each sense it belongs to.
the act of putting forth your own opinions in a boastful or inconsiderate manner that implies you feel superior to others
the act of asserting yourself in an aggressive manner
Synonyms, antonyms and the broader and narrower relations for self-assertion come from Princeton University’s WordNet. Full sources and licences.