Counterexample and Optimality Conditions in Differentiable Multiobjective Programming

被引：0

作者：

D. S. Kim

G. M. Lee

B. S. Lee

S. J. Cho

机构：

来源：

Journal of Optimization Theory and Applications | 2001年 / 109卷

关键词：

multiobjective programming; Pareto-optimal solutions; weak Pareto-optimal solutions; optimality conditions;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

Recently, sufficient optimality theorems for (weak) Pareto-optimal solutions of a multiobjective optimization problem (MOP) were stated in Theorems 3.1 and 3.3 of Ref. 1. In this note, we give a counterexample showing that the theorems of Ref. 1 are not true. Then, by modifying the assumptions of these theorems, we establish two new sufficient optimality theorems for (weak) Pareto-optimal solutions of (MOP); moreover, we give generalized sufficient optimality theorems for (MOP).

引用

页码：187 / 192

页数：5

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