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In this paper, a nonconvex nonsmooth multiobjective programming problem is considered and two its higher-order duals are defined. Further, several duality results are established between the considered nonsmooth vector optimization problem and its dual models under assumptions that the involved functions are higher-order (Φ, ρ)-type I functions.

Higher-order duality results for a new class of nonconvex nonsmooth multiobjective programming problems