Higher order efficiency, saddle point optimality, and duality for vector optimization problems

被引：6
|
作者：
Gupta, Anjana [1 ]
Bhatia, Davinder
Mehra, Aparna
机构：
[1] Univ Delhi, Dept Operat Res, Delhi 110007, India
[2] Indian Inst Technol, Dept Math, New Delhi 110016, India
来源：
NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION | 2007年 / 28卷 / 3-4期
关键词：
Lagrange duality; strict local efficient solution; strict local saddle point; vector optimization;
D O I：
10.1080/01630560701249970
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we intend to characterize the strict local efficient solution of order m for a vector minimization. problem in terms of the vector saddle point. A new notion of strict local saddle point of higher order of the vector-valued Lagrangian function is introduced. The relationship between strict local saddle point and strict local efficient solution is derived. Lagrange duality is formulated, and duality results are presented.
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页码：339 / 352
页数：14
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