Duality of Multiobjective Fractional Programming with Nonsmooth(F,α,ρ,d)-Convex Functions
Yan Li-jia
Abstract
Yan Li-jia
Abstract
By using the nonsmooth(F,α,ρ,d)-convex functions,the duality problem of a class of nonsmooth multiobjective fractional programming is considered,and the appropriate theorems of weak duality,strong duality and strict converse duality are also derived in this paper.
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By using the nonsmooth(F,α,ρ,d)-convex functions,the duality problem of a class of nonsmooth multiobjective fractional programming is considered,and the appropriate theorems of weak duality,strong duality and strict converse duality are also derived in this paper.
Key concepts: Duality (order theory), Converse, Strong duality, Mathematics, Perturbation function, Fractional programming, Fenchel's duality theorem, Wolfe duality