摘要
本文首先得到广义向量似变分不等式问题的解的存在性定理，然后利用UＳＣＯ映射的性质（见ＴａｎＫＫ（ｅｔａｌ）（１９９５）），讨论广义向量似变分不等式的解集的通有稳定性，得到大多数（拓扑意义下）广义向量似变分不等式问题的解集是稳定的．
in this paper, first, we prove the existence of solutions for the generalized vector variational-like inequality; second, by the usco mapping (see K.K.Tan, J.Yu andX.Z.Yuan(1995)), the generic stability of the solutions set for the generalized vector variational like inequality is studied, and it is shown that the solutions set of most of the generalized vectorvariational-like inequality is stable.
出处
《系统科学与数学》
CSCD
北大核心
1999年第4期447-452,共6页
Journal of Systems Science and Mathematical Sciences
基金
贵州省自然科学基金
关键词
广义
似变分不等式
向量变分不等式
稳定性
Generalized vector variational-like inequality, upper semicontinuous, lowersemicontinuous, ucso mapping, essential solution.
