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- W2145933766 abstract "The purpose of this paper is to study a class of nondifferentiable multiobjective fractional programming problems in which every component of objective functions contains a term involving the support function of a compact convex set. For a differentiable function, we introduce the definition of higher-order $(C,alpha,gamma,rho,d)$ -convex function. A nontrivial example is also constructed which is in this class but not $(F,alpha,gamma,rho,d)$ -convex. Based on the $(C,alpha,gamma,rho,d)$ -convexity, sufficient optimality conditions for an efficient solution of the nondifferentiable multiobjective fractional programming problem are established. Further, a higher-order Mond-Weir type dual is formulated for this problem and appropriate duality results are proved under higher-order $(C,alpha,gamma,rho,d)$ -assumptions." @default.
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- W2145933766 date "2015-11-09" @default.
- W2145933766 modified "2023-10-03" @default.
- W2145933766 title "Optimality and duality results for a nondifferentiable multiobjective fractional programming problem" @default.
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- W2145933766 doi "https://doi.org/10.1186/s13660-015-0876-0" @default.
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