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

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.

Keywords

• Multiobjective fractional programming
• nonsmooth programming
• pseudolinearity
• η-pseudolinearity
• duality