Optimality Conditions and Duality for a Class of Fractional Programming Problems with(F,α,ρ,d)—Convex Functions
Liu San
Abstract
Liu San
Abstract
In this paper,parametric and nonparametric optimality conditions for a class of nonlinear fractional programming problems are presented.Moreover,a parametric and a nonparametric duality models are constructed.Appropriate duality theorems are proved.These results are based on the properties of sublinear functions and generalized convex functions.
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In this paper,parametric and nonparametric optimality conditions for a class of nonlinear fractional programming problems are presented.Moreover,a parametric and a nonparametric duality models are constructed.Appropriate duality theorems are proved.These results are based on the properties of sublinear functions and generalized convex functions.
Key concepts: Duality (order theory), Mathematics, Fractional programming, Sublinear function, Nonparametric statistics, Parametric statistics, Class (philosophy), Applied mathematics