Higher-order symmetric duality for a class of multiobjective fractional programming problems

被引：8

作者：

Ying, Gao ^{[1
]}

机构：

[1] Chongqing Normal Univ, Dept Math, Chongqing 400047, Peoples R China

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2012年

基金：

美国国家科学基金会;

关键词：

Higher-order symmetric duality; multiobjective fractional programming; higher-order; (F; alpha; rho; d)-convexity; GENERALIZED INVEXITY; F-CONVEXITY; 2ND-ORDER;

D O I：

10.1186/1029-242X-2012-142

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, a pair of nondifferentiable multiobjective fractional programming problems is formulated. For a differentiable function, we introduce the definition of higher-order (F, alpha, rho, d)-convexity, which extends some kinds of generalized convexity, such as second order F-convexity and higher-order F -convexity. Under the higher-order (F, alpha, rho, d)-convexity assumptions, we prove the higher-order weak, higher-order strong and higher-order converse duality theorems. Mathematics Subject Classification (2010) 90C29; 90C30; 90C46.

引用

页数：12

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