Sufficiency and duality in nonsmooth multiobjective optimization involving generalized (F, α, π, d)-Type I functions

In this paper, new classes of generalized (F, α, π, d)-Type I functions are introduced for a nonsmooth multiobjective programming problem. Based upon these generalized functions, sufficient optimality conditions are established. Weak, strong, and strict converse duality theorems are also 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.