Duality results for a second-order multiobjective fractional programming problem with generalised convexity (Q2204330)

Summary: The purpose of this paper is to study a class of non-differentiable multiobjective fractional programming problem in which every component of objective functions contains a term involving the support function of a compact convex set. For a differentiable function, we use the definition of second-order \((C,\alpha, \rho, d)-V\)-type-I convex function. Further, a Mond-Weir type dual has been formulated for this problem and appropriate duality results have been proved under second-order \((C, \alpha, \rho, d)-V\)-type-I convexity assumptions.