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

Arvind Kumar and Pankaj Kumar Garg

International Journal of Mathematics in Operational Research, 2017, vol. 11, issue 4, 435-449

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.

Keywords: duality; non-differentiable; multiobjective fractional programming; generalised convexity. (search for similar items in EconPapers)
Date: 2017
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