Efficiency and Duality in Nonsmooth Multiobjective Fractional Programming Involving η-pseudolinear Functions

S.K. Mishra, B.B. Upadhyay

In this paper, we shall establish necessary and sufficient conditions for a feasible solution to be efficient for a nonsmooth multiobjective fractional programming problem involving η − pseudolinear functions. Furthermore, we shall show equivalence between efficiency and proper efficiency under certain boundedness condition. We have also obtained weak and strong duality results for corresponding Mond-Weir subgradient type dual problem. These results extend some earlier results on efficiency and duality to multiobjective fractional programming problems involving pseudolinear and η − pseudolinear functions.