本文引进集值映射的全局真有效次微分的概念,并用它得到了约束集值优化问题全局真有效解在集值映射的支撑函数和Lagrange乘子形式下的最优性必要条件.
In this paper, the concept of globally proper efficient subdifferential is introduced for a setvalued mapping. The necessary optimality conditions of the constraintset-valued optimization problem for globlly proper efficient solutions are established in terms of support function of set-valed mapping and Lagrange multiplier by using the concept of globally proper efficient subdifferential for set-valued mapping.