Second-Order Duality in Multiobjective Programming Involving (F, α, ρ, d)-V-Type I Functions

摘要

In this paper, a new class of second-order (F, α, ρ, d)-V-type I functions is introduced that generalizes the notion of (F, α, ρ, d)-V-convex functions introduced by Zalmai (Computers Math. Appl. 2002; 43:1489-1520) and (F, α, ρ, d)-type I functions defined by Hachimi and Aghezzaf (Numer. Funct. Anal. Optim. 2004; 25:725-736). Based on these functions, weak, strong, and strict converse duality theorems are derived for Wolfe and Mond-Weir type multiobjective dual programs in order to relate the efficient and weak efficient solutions of primal and dual problems.