Optimality and duality for multiobjective fractional programming involving non-smooth generalized -univex functions

We establish properly efficient necessary and sufficient optimality conditions for multiobjective fractional programming involving nonsmooth generalized (F, b, [phi], [rho], [theta])-univex functions. Utilizing] the necessary optimality conditions, we formulate the parametric dual model and establis...

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Veröffentlicht in:International journal of mathematics and mathematical sciences
Hauptverfasser: Liu, Jen-Chwan, Liu, Chun-Yu
Format: Journal Article
Sprache:Englisch
Veröffentlicht: John Wiley & Sons, Inc 01.01.2013
Schlagworte:
Convex functions
Duality theory (Mathematics)
Mathematical optimization
Mathematical research
Taiwan
ISSN:0161-1712
Online-Zugang:Volltext
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Zusammenfassung:We establish properly efficient necessary and sufficient optimality conditions for multiobjective fractional programming involving nonsmooth generalized (F, b, [phi], [rho], [theta])-univex functions. Utilizing] the necessary optimality conditions, we formulate the parametric dual model and establish some duality results in the framework of generalized (F, b, [phi], [rho], [theta])-univex functions.
ISSN:0161-1712
DOI:10.1155/2013/284046