| 广义变分不等式和隐补问题 |
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| 引用本文： | 丁协平.广义变分不等式和隐补问题[J].四川师范大学学报(自然科学版),1993(5). |
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| 作者姓名： | 丁协平 |
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| 作者单位： | 四川师范大学数学系 |
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| 摘 要： | 本文利用作者得到的极小极大不等式,在具有充分多连续线性泛函的Hausdorff拓扑矢量空间内证明了一类广义变分不等式和广义隐补问题解的存在性定理.我们的定理改进和推广了Isac,Allen和Karamadian等人的相应结果,此外我们还将Thera关于补问题解的存在定理推广到了隐补问题.
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| 关 键 词： | 广义变分不等式 广义隐补问题 Hausdorff拓扑矢量空间 |
GENERALIZED VARIATIONAL INEQUALITIES AND IMPLICIT COMPLEMENTARITY PROBLEMS |
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| Ding Xieping.GENERALIZED VARIATIONAL INEQUALITIES AND IMPLICIT COMPLEMENTARITY PROBLEMS[J].Journal of Sichuan Normal University(Natural Science),1993(5). |
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| Authors: | Ding Xieping |
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| Institution: | Department of Mathematics |
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| Abstract: | In this paper,by applying a minimax inequality obtained by author,we prove some existence theorems of so-lutions for a class of generalized variational inequalities and implicit complementarity problems.Our theorems im-prove and generalize the corresponding results of Isac,Allen and Karamadian etc.We also generalize the existencetheorem of solutions of complementarity problem obtained by Thera to implicit complementarity problem. |
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| Keywords: | generalized vriational inequality generalized implicit complementarityy problem Hausdorff topological vector space |
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