Optimality Conditions for Nonsmooth Multiobjective Fractional Programming with Nonsmooth(F,α,ρ,d)-Convexity
Yan Li-jia
Abstract
Yan Li-jia
Abstract
Based on the definition of(F,α,ρ,d)-convexity functions,nonsmooth(F,α,ρ,d)-convexity functions are defined in the paper,generalized Karush-Kuhn-Tucker optimality conditions for nonsmooth multiobjective fractional programming with this kind of functions are also derived.
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Based on the definition of(F,α,ρ,d)-convexity functions,nonsmooth(F,α,ρ,d)-convexity functions are defined in the paper,generalized Karush-Kuhn-Tucker optimality conditions for nonsmooth multiobjective fractional programming with this kind of functions are also derived.
Key concepts: Convexity, Mathematics, Applied mathematics, Mathematical optimization, Fractional programming, Mathematical economics, Nonlinear programming, Economics