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

Tadeusz Antczak, Hachem Slimani

Abstract


In this paper, a nonconvex nonsmooth multiobjective programming problem is considered and higher-order duals are defined for it. 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 (Phi,ro)-type I functions.

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