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Duality results for a second-order multiobjective fractional programming problem with generalised convexity

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  • Arvind Kumar
  • Pankaj Kumar Garg

Abstract

The purpose of this paper is to study a class of non-differentiable multiobjective fractional programming problem in which every component of objective functions contains a term involving the support function of a compact convex set. For a differentiable function, we use the definition of second-order (C, α, ρ, d) - V-type-I convex function. Further, a Mond-Weir type dual has been formulated for this problem and appropriate duality results have been proved under second-order (C, α, ρ, d) - V-type-I convexity assumptions.

Suggested Citation

  • Arvind Kumar & Pankaj Kumar Garg, 2017. "Duality results for a second-order multiobjective fractional programming problem with generalised convexity," International Journal of Mathematics in Operational Research, Inderscience Enterprises Ltd, vol. 11(4), pages 435-449.
    • Handle: RePEc:ids:ijmore:v:11:y:2017:i:4:p:435-449
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