Geodesic
Efficiency and Duality in Nonsmooth Multiobjective Fractional Programming Involving η-pseudolinear Functions
Yugoslav journal of operations research, Tome 22 (2012) no. 1, p. 3 Cet article a éte moissonné depuis la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

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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.
Classification : 90C32, 49J52, 52A01
Keywords: Multiobjective fractional programming, nonsmooth programming, pseudolinearity, η−pseudolinearity, duality. 
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     title = {Efficiency and {Duality} in {Nonsmooth} {Multiobjective} {Fractional} {Programming} {Involving} \ensuremath{\eta}-pseudolinear {Functions}},
     journal = {Yugoslav journal of operations research},
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S.K. Mishra; B.B. Upadhyay. Efficiency and Duality in Nonsmooth Multiobjective Fractional Programming Involving η-pseudolinear Functions. Yugoslav journal of operations research, Tome 22 (2012) no. 1, p. 3 . http://geodesic.mathdoc.fr/item/YJOR_2012_22_1_a0/