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On Nonsmooth Multiobjective Fractional Programming Problems Involving (p, r) - ρ - (η , θ)- Invex Functions
Yugoslav journal of operations research, Tome 23 (2013) no. 3, p. 367 Cet article a éte moissonné depuis la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

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A class of multiobjective fractional programming problems (MFP) is considered where the involved functions are locally Lipschitz. In order to deduce our main results, we introduce the definition of (p, r) - ρ - (η , θ)-invex class about the Clarke generalized gradient. Under the above invexity assumption, sufficient conditions for optimality are given. Finally, three types of dual problems corresponding to (MFP) are formulated, and appropriate dual theorems are proved. Keywords: Multiobjective fractional programming, Clarke gradient, ( ) ( ), ,p r ρ η θ− − -invexity, efficiency, sufficient optimality conditions, duality theorems.
Classification : 90C32, 90C46, 49N15.
Keywords: Multiobjective fractional programming, Clarke gradient, (p, r) - ρ - (η , θ) -invexity,efficiency, sufficient optimality conditions, duality theorems. 
@article{YJOR_2013_23_3_a4,
     author = {Anurag Jayswal and Ashish Kumar Prasad and I. M. Stancu-Minasian},
     title = {On {Nonsmooth} {Multiobjective} {Fractional} {Programming} {Problems} {Involving}  (p, r) - \ensuremath{\rho} - (\ensuremath{\eta} , \ensuremath{\theta})- {Invex} {Functions}},
     journal = {Yugoslav journal of operations research},
     pages = {367 },
     year = {2013},
     volume = {23},
     number = {3},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/YJOR_2013_23_3_a4/}
}
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AU  - Ashish Kumar Prasad
AU  - I. M. Stancu-Minasian
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Anurag Jayswal; Ashish Kumar Prasad; I. M. Stancu-Minasian. On Nonsmooth Multiobjective Fractional Programming Problems Involving  (p, r) - ρ - (η , θ)- Invex Functions. Yugoslav journal of operations research, Tome 23 (2013) no. 3, p. 367 . http://geodesic.mathdoc.fr/item/YJOR_2013_23_3_a4/