Sufficiency and duality in differentiable multiobjective programming involving generalized type I functions

被引：40

作者：

Hachimi, M

Aghezzaf, B

机构：

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

[2] Univ Ibn Zohr, Fac Sci Jurid Econ & Sociales, Agadir, Morocco

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2004年 / 296卷 / 02期

关键词：

multiobjective programming problem; efficient solution; sufficiency; type I functions; generalized convexity; mixed duality;

D O I：

10.1016/j.jmaa.2003.12.042

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, new classes of generalized (F, alpha, rho, d)-type I functions are introduced for differentiable multiobjective programming. Based upon these generalized functions, first, we obtain several sufficient optimality conditions for feasible solution to be an efficient or weak efficient solution. Second, we prove weak and strong duality theorems for mixed type duality. (C) 2004 Elsevier Inc. All rights reserved.

引用

页码：382 / 392

页数：11

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