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In the present paper, we are concerned with a class of constrained vectoroptimization problems, where the objective functions and active constraintfunctions are locally Lipschitz at the referee point. Some second-orderconstraint qualifications of Zangwill type, Abadie type andMangasarian~--~Fromovitz type as well as a regularity condition of Abadie typeare proposed in a nonsmooth setting. The connections between these proposedconditions are established. They are applied to develop second-orderKarush--Kuhn--Tucker necessary optimality conditions for local (weak, Geoffrionproperly) efficient solutions to the considered problem. Examples are alsogiven to illustrate the obtained results.

Locally Lipschitz vector optimization problems: second-order constraint qualifications, regularity condition and KKT necessary optimality conditions