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2014•Unpublished venueRequires access

Duality for Nonsmooth Multiobjective Fractional Programming Problem with( F,α,ρ,d)-convexity

Yao Yuanji

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Abstract

In this paper,a dual problem for a class of nonsmooth multiobjective fractional programming problem with( F,α,ρ,d)-convexity is studied,and weak duality theorems,strong duality theorems and strict converse duality theorems for the class of dual problem are obtained and proved. The related results of [6]are generalized and improved.

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What this paper is about

In this paper,a dual problem for a class of nonsmooth multiobjective fractional programming problem with( F,α,ρ,d)-convexity is studied,and weak duality theorems,strong duality theorems and strict converse duality theorems for the class of dual problem are obtained and proved. The related results of [6]are generalized and improved.

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Available abstract

In this paper,a dual problem for a class of nonsmooth multiobjective fractional programming problem with( F,α,ρ,d)-convexity is studied,and weak duality theorems,strong duality theorems and strict converse duality theorems for the class of dual problem are obtained and proved. The related results of [6]are generalized and improved.

Key concepts: Duality (order theory), Convexity, Mathematics, Strong duality, Converse, Fractional programming, Wolfe duality, Duality gap

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