Optimality criteria and duality in multiobjective programming involving nonsmooth invex functions

被引：10

作者：

Nobakhtian, S. ^{[1
]}

机构：

[1] Univ Isfahan, Dept Math, Esfahan, Iran

来源：

JOURNAL OF GLOBAL OPTIMIZATION | 2006年 / 35卷 / 04期

关键词：

cone approximation; duality; efficient solution; multiobjective problems;

D O I：

10.1007/s10898-005-5320-4

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

摘要：

In this paper a generalization of invexity is considered in a general form, by means of the concept of K-directional derivative. Then in the case of nonlinear multiobjective programming problems where the functions involved are nondifferentiable, we established sufficient optimality conditions without any convexity assumption of the K-directional derivative. Then we obtained some duality results.

引用

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页码：593 / 606

页数：14

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