Optimality Conditions and Duality in Nondifferentiable Minimax Fractional Programming with Generalized Convexity

Author: Ahmad I.   Husain Z.  

Publisher: Springer Publishing Company

ISSN: 0022-3239

Source: Journal of Optimization Theory and Applications, Vol.129, Iss.2, 2006-05, pp. : 255-275

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Abstract

We establish sufficient optimality conditions for a class of nondifferentiable minimax fractional programming problems involving (F, α, ρ, d)-convexity. Subsequently, we apply the optimality conditions to formulate two types of dual problems and prove appropriate duality theorems.