2ND-ORDER NECESSARY AND SUFFICIENT CONDITIONS IN MULTIOBJECTIVE PROGRAMMING

被引：40

作者：

WANG, SY ^{[1
]}

机构：

[1] ACAD SINICA,INST SYST SCI,BEIJING 100080,PEOPLES R CHINA

来源：

NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION | 1991年 / 12卷 / 1-2期

关键词：

MULTIOBJECTIVE PROGRAMMING; EFFICIENT SOLUTIONS; CONSTRAINT QUALIFICATIONS; 2ND-ORDER NECESSARY AND SUFFICIENT CONDITIONS;

D O I：

10.1080/01630569108816425

中图分类号：

O29 [应用数学];

学科分类号：

070104 [应用数学];

摘要：

In this paper we study second-order optimality conditions for the multi-objective programming problems with both inequality constraints and equality constraints. Two weak second-order constraint qualifications are introduced, and based on them we derive several second-order necessary conditions for a local weakly efficient solution. Two second-order sufficient conditions are also presented.

引用

页码：237 / 252

页数：16

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