Sufficiency and duality in nondifferentiable multiobjective fractional programming with higher-order (V, α, ρ, θ)-invexity

T.R. Gulati and Himani Saini

International Journal of Mathematics in Operational Research, 2011, vol. 3, issue 5, 510-523

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).

Keywords: multiobjective fractional programming; support function; higher-order (V, alpha, rho, theta)-invexity; efficiency; sufficiency. (search for similar items in EconPapers)
Date: 2011
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