Efficiency and duality in nonsmooth multiobjective fractional programming involving η-pseudolinear functions
Mishra S.K., Upadhyay B.B.
Yugoslav Journal of Operations Research · 2012
doi:10.2298/yjor101215002m (opens in a new tab)
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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.
Abstract licence: CC BY-NC-SA
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