Efficiency and duality in nonsmooth multiobjective fractional programming involving η-pseudolinear functions

• Main Authors: Mishra S.K., Upadhyay B.B.
• Format: Article
• Language: English
• Published: University of Belgrade 2012-01-01
• Series: Yugoslav Journal of Operations Research
• Subjects: Multiobjective fractional programming; nonsmooth programming; pseudolinearity; η-pseudolinearity; duality
• Online Access: http://www.doiserbia.nb.rs/img/doi/0354-0243/2012/0354-02431100002M.pdf

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.