Generalized invexity and duality in multiobjective programming problems

被引：89

作者：

Aghezzaf, B ^{[1
]}

Hachimi, M ^{[1
]}

机构：

[1] Fac Sci Ain Chock, Dept Math & Informat, Casablanca, Morocco

来源：

JOURNAL OF GLOBAL OPTIMIZATION | 2000年 / 18卷 / 01期

关键词：

multiobjective programming; efficient solution; convexity; invexity; type I; weak; strong; converse duality;

D O I：

10.1023/A:1008321026317

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 [运筹学与控制论]; 12 [管理学]; 1201 [管理科学与工程]; 1202 [工商管理学]; 120202 [企业管理];

摘要：

In this paper, we are concerned with the multiobjective programming problem with inequality constraints. We introduce new classes of generalized type I vector-valued functions. Duality theorems are proved for Mond-Weir and general Mond-Weir type duality under the above generalized type I assumptions.

引用

页码：91 / 101

页数：11

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