Optimality and Duality for Multiobjective Fractional Programming Involving Nonsmooth Generalized (ℱ,b,ϕ,ρ,θ)-Univex Functions
We establish properly efficient necessary and sufficient optimality conditions for multiobjective fractional programming involving nonsmooth generalized (ℱ,b,ϕ,ρ,θ)-univex functions. Utilizing the necessary optimality conditions, we formulate the parametric dual model and establish some duality resu...
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Main Authors: | Jen-Chwan Liu, Chun-Yu Liu |
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Format: | Article |
Language: | English |
Published: |
Wiley
2013-01-01
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Series: | International Journal of Mathematics and Mathematical Sciences |
Online Access: | http://dx.doi.org/10.1155/2013/284046 |
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