Second-order duality for a nondifferentiable minimax fractional programming under generalized α-univexity
نویسندگان
چکیده
منابع مشابه
Second - Order Duality for Nondifferentiable Multiobjective Programming Involving ( , Ρ ) - Univexity
The concepts of ( , ρ)-invexity have been given by Carsiti,Ferrara and Stefanescu[32]. We consider a second-order dual model associated to a multiobjective programming problem involving support functions and a weak duality result is established under appropriate second-order ( , ρ)-univexity conditions. AMS 2002 Subject Classification: 90C29, 90C30, 90C46.
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*Correspondence: [email protected] Department of Mathematics, University of Tabuk, Tabuk, Kingdom of Saudi Arabia Abstract In the present paper, we are concerned with second-order duality for nondifferentiable minimax fractional programming under the second-order generalized convexity type assumptions. The weak, strong and converse duality theorems are proved. Results obtained in this paper ext...
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and Applied Analysis 3 It can be easily seen that for a compact convex set C, y is in NC x if and only if S y | C xy, or equivalently, x is in ∂S y | C . Definition 2.2. A functional F : X × X × R → R where X ⊆ R is sublinear with respect to the third variable if for all x, u ∈ X ×X, i F x, u; a1 a2 ≤ F x, u; a1 F x, u; a2 for all a1, a2 ∈ R, ii F x, u;αa αF x, u; a , for all α ∈ R and for all ...
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ژورنال
عنوان ژورنال: Journal of Inequalities and Applications
سال: 2012
ISSN: 1029-242X
DOI: 10.1186/1029-242x-2012-187