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Volume 4, Issue 1, 1 April 2022, Pages 41-54
Abstract. We introduce new notions on second-order generalized convexity types, and establish second-order necessary and sufficient conditions for the local weak efficiency of nonsmooth multiobjective optimization problems involving inequality, equality and set constraints in terms of the Páles-Zeidan second-order directional derivatives. These notions of 2-generalized convexity are advantage for deriving optimality conditions in case that the set constraint is convex. Second-order duality theorems of Mond-Weir type are also given.
How to Cite this Article:
Do Van Luu, Second-order optimality conditions and duality for nonsmooth multiobjective optimization problems, Appl. Set-Valued Anal. Optim. 4 (2022), 41-54.