广义向量似变分不等式解集的通有稳定性  

GENERIC STABILITY OF THE SOLUTIONS SET FOR GENERALIZED VECTOR VARIATIONAL-LIKE INEQUALITY

作　　者：罗群[1] 邓晓红 孙天翔 

机构地区：[1]贵州师范大学数学系,贵阳550001 [2]贵州省贵阳市金筑大学,贵阳550002 [3]贵州安顺工中,安顺561000

出　　处：《系统科学与数学》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

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.

关 键 词：广义 似变分不等式 向量变分不等式 稳定性 

分 类 号：O176.3[理学—数学] O178[理学—基础数学]