集值向量优化问题的弱有效解的一些刻画

Some Characterizarions of Weak Minimal Solutions of Vector Optimization Problems with Set-valued Maps

主要证明了集值向量优化问题在锥次似凸条件下弱有效解存在的一个充要条件,并利用集值映象(下半)Dini-可导,给出了弱有效解的一个刻画。

A sufficient and necessary condition of weak minimal solutions for vector optimization problems with setvalued maps is presented in the paper, and a characterization of weak minimal solutions is devived by using Dinidifferentiability of set-valued maps.