| 广义向量似变分不等式解集的通有稳定性 |
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| 引用本文： | 罗群.广义向量似变分不等式解集的通有稳定性[J].系统科学与数学,1999,19(4):447-452. |
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| 作者姓名： | 罗群 |
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| 作者单位： | 贵州师范大学数学系!贵阳５５０００１(罗群)，贵州省贵阳市金筑大学!贵阳５５０００２(邓晓红)，贵州安顺工中!安顺５６１０００(孙天翔) |
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| 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．
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| 关 键 词： | 广义向量似变分不等式 上半连续 下半连续 usco映射 本质解 |
GENERIC STABILITY OF THE SOLUTIONS SET FOR GENERALIZED VECTOR VARIATIONAL-LIKE INEQUALITY |
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| Luo Qun,Xiao Hong DENG,Tian Xiang SUN.GENERIC STABILITY OF THE SOLUTIONS SET FOR GENERALIZED VECTOR VARIATIONAL-LIKE INEQUALITY[J].Journal of Systems Science and Mathematical Sciences,1999,19(4):447-452. |
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| Authors: | Luo Qun Xiao Hong DENG Tian Xiang SUN |
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| Institution: | (1)Department Of Mathematics, Guizhou Normal University, Guiyang 550001,P.R.China;(2)Jinzhu College of Guiyang, Guizhou, Guiyang 550002,P.R.Chian;(3)Guizhou Anshun No. 2 Middle School, Anshun 561000,P.R.China |
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| Abstract: | 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. |
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| Keywords: | Generalized vector variational-like inequality upper semicontinuous lowersemicontinuous ucso mapping essential solution |
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