Efficiency and duality for multiobjective fractional variational problems with (ρ,b) - quasiinvexity
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 prob...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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University of Belgrade
2009-01-01
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| Series: | Yugoslav Journal of Operations Research |
| Subjects: | |
| Online Access: | http://www.doiserbia.nb.rs/img/doi/0354-0243/2009/0354-02430901085M.pdf |
| Summary: | 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 (ρ,b) - quasi-invexity of the functions involved. |
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| ISSN: | 0354-0243 1820-743X |