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

Author

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  • T.R. Gulati
  • Himani Saini

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).

Suggested Citation

  • T.R. Gulati & Himani Saini, 2011. "Sufficiency and duality in nondifferentiable multiobjective fractional programming with higher-order (V, α, ρ, θ)-invexity," International Journal of Mathematics in Operational Research, Inderscience Enterprises Ltd, vol. 3(5), pages 510-523.
    • Handle: RePEc:ids:ijmore:v:3:y:2011:i:5:p:510-523
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