Sufficiency and duality in nondifferentiable multiobjective fractional programming with higher-order (V, α, ρ, θ)-invexity
by T.R. Gulati, Himani Saini
International Journal of Mathematics in Operational Research (IJMOR), Vol. 3, No. 5, 2011

Abstract: In the present paper, the concept of higher-order (V, α, ρ, θ)-invexity is used to study higher-order duality for a nondifferentiable multiobjective fractional programming problem (MFP). We first obtain a result giving higher-order (V, α, ρ, θ)-invexity of the ratio of two functions. This result is then used to drive sufficient optimality conditions for an efficient solution of (MFP). Moreover, duality theorems are established for Mond-Weir type higher-order dual of (MFP).

Online publication date: Thu, 12-Feb-2015

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