Optimality and duality for V-invex non-smooth multiobjective programming problems

被引：3

作者：

Mishra, S. K. ^{[2
]}

Wang, S. Y. ^{[3
]}

Lai, K. K. ^{[1
,4
]}

机构：

[1] City Univ Hong Kong, Dept Management Sci, Kowloon, Hong Kong, Peoples R China

[2] GB Pant Univ Agr & Technol, Coll Basic Sci & Humanities, Dept Math Stat & Comp Sci, Pantnagar, Uttar Pradesh, India

[3] Chinese Acad Sci, Inst Syst Sci, Beijing, Peoples R China

[4] Hunan Univ, Coll Business Adm, Changsha 410082, Hunan, Peoples R China

来源：

OPTIMIZATION | 2008年 / 57卷 / 05期

关键词：

multiobjective programming; locally Lipschitz functions; V-invex functions; sufficient optimality conditions; duality;

D O I：

10.1080/02331930802355457

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：

We consider non-smooth multiobjective programming problems with inequality and equality constraints involving locally Lipschitz functions. Several optimality conditions under various (generalized) V-invexity assumptions and certain regularity conditions are presented. Further, we introduce a Mond-Weir type dual and establish duality relations under the aforesaid assumptions.

引用

页码：635 / 641

页数：7

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