Source : Webster's Revised Unabridged Dictionary (1913)

Self-asserting \Self`-as*sert"ing\, a.
   asserting one's self, or one's own rights or claims; hence,
   putting one's self forward in a confident or assuming manner.

Source : WordNet®

self-asserting
     adj : confidently aggressive; "too assertive as a salesman"; "his
           self-assertive and unflagging energy" [syn: {assertive},
            {self-assertive}]