Mason made 31 saves for his first shutout of the season, the 22nd of his 10-year career. Winnipeg won for the third time in four games.
Bernier stopped 26 shots in the hard-luck loss. The Kings came into the game having won four out of five.
After winning just once in their opening six games this season, the Jets have come back to trail Florida by four points for the lead in the Southeast Division.
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