On duality for a second-order multiobjective fractional programming problem involving type-I functions.

The purpose of this paper is to study a nondifferentiable multiobjective fractional programming problem (MFP) in which each component of objective functions contains the support function of a compact convex set. For a differentiable function, we introduce the class of second-order (C, α, ρ, d)-V-type-I convex functions. Further, Mond–Weir- and Wolfe-type duals are formulated for this problem and appropriate duality results are proved under the aforesaid assumptions. [ABSTRACT FROM AUTHOR]