Gibson made 10 of 13 shots. He added six rebounds, four assists and two steals.
Zach Thornhill had 19 points for Omaha (2-1). Matt Pile added 15 points, seven rebounds and four blocks. Wanjang Tut had 13 points and seven rebounds for the Mavericks.
Joe French had 19 points for the Wildcats (1-2). Cletrell Pope added 12 points and eight rebounds. Wali Parks had seven rebounds and six points before fouling out.
Nebraska Omaha faces Colorado State on the road on Wednesday. Bethune-Cookman takes on Trinity Baptist at home on Friday.
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