Geodesic
Efficiency and Duality for Multiobjective Fractional Variational Problems With $( ho, b)$-Quasiinvexity
Yugoslav journal of operations research, Tome 19 (2009) no. 1, p. 85

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Zbl

The necessary conditions for (normal) efficient solutions to a class of multi-objective fractional variational problems (MFP) with nonlinear equality and inequality constraints are established using a parametric approach to relate efficient solutions of a fractional problem and a non-fractional problem. Based on these normal efficiency criteria a Mond-Weir type dual is formulated and appropriate duality theorems are proved assuming $(\rho, b)$-quasi-invexity of the functions involved.
Classification : 90C46 90C29
Keywords: Duality, fractional variational problem,quasi-invexity. 
Ştefan Mititelu; I. M. Stancu-Minasian. Efficiency and Duality for Multiobjective Fractional Variational Problems With $(
ho, b)$-Quasiinvexity. Yugoslav journal of operations research, Tome 19 (2009) no. 1, p. 85 . http://geodesic.mathdoc.fr/item/YJOR_2009_19_1_a5/
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     title = {Efficiency and {Duality} for {Multiobjective} {Fractional} {Variational} {Problems} {With} $(
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     journal = {Yugoslav journal of operations research},
     pages = {85 },
     year = {2009},
     volume = {19},
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     zbl = {1274.90483},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/YJOR_2009_19_1_a5/}
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