Multiobjective Fractional Programming Involving Generalized Semilocally V-Type I-Preinvex and Related Functions
We study a nonlinear multiple objective fractional programming with inequality constraints where each component of functions occurring in the problem is considered semidifferentiable along its own direction instead of the same direction. New Fritz John type necessary and Karush-Kuhn-Tucker type nece...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2014/496149 |
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| Summary: | We study a nonlinear multiple objective fractional programming with inequality
constraints where each component of functions occurring in the
problem is considered semidifferentiable along its own direction instead of
the same direction. New Fritz John type necessary and Karush-Kuhn-Tucker
type necessary and sufficient efficiency conditions are obtained for a feasible
point to be weakly efficient or efficient. Furthermore, a general Mond-Weir
dual is formulated and weak and strong duality results are proved using
concepts of generalized semilocally V-type I-preinvex functions. This contribution
extends earlier results of Preda
(2003), Mishra et al. (2005), Niculescu
(2007), and Mishra and Rautela (2009), and generalizes results obtained in the literature on
this topic. |
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| ISSN: | 0161-1712 1687-0425 |