凸复合多目标优化问题的最优性条件

对于经济、工程、决策等领域中带有冲突目标的实际问题，多目标优化是一个有用的数学模型。已有学者对凸复合不等约束下一般凸复合我目标非光滑优化问题作了研究，且在零空间条件假设下导出了一阶最优性条件。在此基础上，进一步研究闭凸约束下凸复合多目标优化的最优性条件，根据非空内点条件假设，对凸复合多目标优化问题的弱有效解给出了新的一阶最优性充分条件。

Optimality Conditions for Convex Composite Multiobjective Optimization Problem

Multiobjective optimization is a useful mathematical model in many areas,such as economics,engineering,and decision making,to solve real world problems with conflicting objectives. A general convex composite multiobjective nonsmooth optimization problem with convex composite inequality constraints was studied by a scholar and first order optimality conditions were derived assuming a null space condition.Optimality condition for a convex composite multiobjective optimization problem which subject to a closed convex constraint set is further studied on the basis of his reseach result.In terms of some nonempty interior conditions,presented a new first order sufficient condition for a weakly efficient solution of the convex composite multiobjective optimization problem.