Optimality and duality in nondifferentiable and multiobjective programming under generalized d-Invexity

被引：32

作者：

Mishra, SK ^{[1
]}

Wang, SY

Lai, KK

机构：

[1] Govind Ballabh Pant Univ Agr & Technol, Coll Basic Sci & Humanities, Dept Math Stat & C Sc, Pantnagar 263145, Uttar Pradesh, India

[2] Chinese Acad Sci, Acad Math & Syst Sci, Inst Syst Sci, Beijing 100080, Peoples R China

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

来源：

JOURNAL OF GLOBAL OPTIMIZATION | 2004年 / 29卷 / 04期

基金：

中国国家自然科学基金;

关键词：

duality; generalized d-Invexity; multiobjective programming; optimality; pareto efficient solution;

D O I：

10.1023/B:JOGO.0000047912.69270.8c

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, we are concerned with the nondifferentiable multiobjective programming problem with inequality constraints. We introduce four new classes of generalized d-type-I functions. By utilizing the new concepts, Antczak type Karush-Kuhn-Tucker sufficient optimality conditions, Mond-Weir type and general Mond-Weir type duality results are obtained for nondifferentiable and multiobjective programming.

引用

页码：425 / 438

页数：14

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