This paper considers the uniqueness of KKT multipliers for vector optimization problems.It has studied the uniqueness of KKT multipliers for non-linear problems by Kyparisis,but the characterization obtained does not provide satisfactory results for vector optimization.Moreover,this paper introduces a new regularity condition related to the objective function,which is shown to be a necessary and sufficient condition for having unique KKT multipliers.Further,it redefines a second-order necessary optimality condition by using this condition.
关键词
向量优化/Mangasarian-Fromovitz类型条件/二阶最优性条件
Key words
vector optimization/Mangasarian-From Ovitz type conditions/second-order optimality conditions