带约束向量集值优化中的二次最优性条件

Second-Order Optimality Conditions in Vector Set-Valued Optimization with Constrains

考虑带约束集值向量优化中的二次最优性条件,引进了新的集值映射的二次切上导数概念,并利用这个概念给出了带约束条件的弱有效点对,Henig有效点对,整体有效点对,f-有效点对的必要条件.

In this paper, we consider the second-order optimality conditions in vector set-valued optimization and present new second-order epiderivatives for set-valued maps. By using these concepts, we give a necessary condition for a weakly efficient solutiou, a Henig efficient solution, a global efficient solution, an f-efficient solution, respectively, for vector set-valued optimization problems with constraints.