集值向量均衡问题的必要性条件

在Banach空间中,借助于Clarke意义下的上导数概念给出了集值向量均衡问题有效解、弱有效解、Henig有效解以及全局有效解的必要性条件;在Asplund空间中,借助于Mordukhovich意义下极限上导数概念,在不具任何凸性条件下给出了具约束条件的集值向量均衡问题有效解、弱有效解、Henig有效解以及全局有效解的必要性条件。

Necessary Conditions for Set-valued Vector Equilibrium Problems

In terms of the concept of coderivative in Clarke sense,we give necessary conditions of efficient solution,weakly efficient solution,Henig solution,globally solution to set-valued vector equilibrium problems on Banach spaces.By using of the concept of coderivative in Mordukhovich sense,we present necessary conditions to the set-valued vector equilibrium problems with constraints without convexity conditions in Asplund spaces.