multiobjective fractional programming involving generalized semilocally v-type i-preinvex and related functions
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ID: 175523
2014
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Abstract
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.
| Reference Key |
slimani2014internationalmultiobjective
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|---|---|
| Authors | ;Hachem Slimani;Shashi Kant Mishra |
| Journal | structural engineering and mechanics |
| Year | 2014 |
| DOI |
10.1155/2014/496149
|
| URL | |
| Keywords |
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