Mixed Type Duality in Multiobjective Fractional Programming Under Generalized ρ-univex Function

摘要

In this paper, three approaches given by Dinklebaeh (Manag Sci 13(7):492– 498, 1967) and Jagannathan (Z Oper Res 17:618–630, 1968) for both primal and mixed type dual of a non differentiable multiobjective fractional programming problem in which the numerator of objective function contains square root of positive semi definite quadratic form are introduced. Also, the necessary and sufficient conditions of efficient solution for fractional programming are established and a parameterizations technique is used to established duality results under generalized ρ-univexity assumption.