|
Efficiency and duality in nonsmooth multiobjective fractional programming involving η-pseudolinear functionsKeywords: Multiobjective fractional programming , nonsmooth programming , pseudolinearity , η-pseudolinearity , duality Abstract: In this paper, we shall establish necessary and sufficient optimality 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 η-pseudolinear and pseudolinear functions.
|