Higher order duality in multiobjective fractional programming with support functions

Abstract

In this paper a new class of higher order ( F , ρ , σ ) -type I functions for a multiobjective programming problem is introduced, which subsumes several known studied classes. Higher order Mond–Weir and Schaible type dual programs are formulated for a nondifferentiable multiobjective fractional programming problem where the objective functions and the constraints contain support functions of compact convex sets in R n . Weak and strong duality results are studied in both the cases assuming the involved functions to be higher order ( F , ρ , σ ) -type I. A number of previously studied problems appear as special cases.