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Duality for a Class of Nondifferentiable Generalized Fractional Programming

Zhuang Yunbiao

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Abstract

This paper gives one mixed type dual problem for a class of nondifferentiable generalized fractional programmingproblems, and proves weak duality, strong duality, and strict converse duality theorems under the assumptions of generalized(F,ρ) -convexity. The results improve and generalize those in [4].

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What this paper is about

This paper gives one mixed type dual problem for a class of nondifferentiable generalized fractional programmingproblems, and proves weak duality, strong duality, and strict converse duality theorems under the assumptions of generalized(F,ρ) -convexity. The results improve and generalize those in [4].

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Available abstract

This paper gives one mixed type dual problem for a class of nondifferentiable generalized fractional programmingproblems, and proves weak duality, strong duality, and strict converse duality theorems under the assumptions of generalized(F,ρ) -convexity. The results improve and generalize those in [4].

Key concepts: Duality (order theory), Converse, Mathematics, Strong duality, Convexity, Class (philosophy), Wolfe duality, Weak duality

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