Optimality and duality in nondifferentiable multiobjective mathematical programming involving higher order ( F, α, ρ, d)-type I functions.

In this paper, a nondifferentiable multiobjective programming problem is considered where every component of objective and constraint functions contain a term involving the support function of a compact convex set. A new class of higher order ( F, α, ρ, d)-type I function is introduced. Necessary optimality conditions and the duality theorems for Wolfe and unified higher order dual problems are established. Several known results can be deduced as special cases. [ABSTRACT FROM AUTHOR]