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2010•Journal of Southwest UniversityRequires access

Duality for a Class of Nonconvex Nonsmooth Multiobjective Fractional Programming Problems

Yao Yuan-jin

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Abstract

In this paper,the duality for a class of non-smooth multi-objective fractional programming problems is studied.Using Clarke generalized gradient,the concept of a class of generalized invexity functions is introduced and,based on this,the weak duality theorem,the strong duality theorem and the strict converse duality theorem for the dual problems are obtained and proved.

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What this paper is about

In this paper,the duality for a class of non-smooth multi-objective fractional programming problems is studied.Using Clarke generalized gradient,the concept of a class of generalized invexity functions is introduced and,based on this,the weak duality theorem,the strong duality theorem and the strict converse duality theorem for the dual problems are obtained and proved.

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Available abstract

In this paper,the duality for a class of non-smooth multi-objective fractional programming problems is studied.Using Clarke generalized gradient,the concept of a class of generalized invexity functions is introduced and,based on this,the weak duality theorem,the strong duality theorem and the strict converse duality theorem for the dual problems are obtained and proved.

Key concepts: Duality (order theory), Strong duality, Mathematics, Converse, Perturbation function, Duality gap, Weak duality, Wolfe duality

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