| 一类有限簇广义集值变分不等式 |
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| 引用本文： | 程莉,程正琼.一类有限簇广义集值变分不等式[J].四川大学学报(自然科学版),2005,42(4):692-695. |
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| 作者姓名： | 程莉 程正琼 |
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| 作者单位： | 四川农业大学数学系,四川,雅安,625014;四川农业大学数学系,四川,雅安,625014 |
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| 摘 要： | 引入并研究了一类新的有限簇广义集值变分不等式．证明了这类变分不等式的解的存在性，并构造了其迭代算法，得到了由此算法产生的迭代序列的收敛性．所得结果包含了一些已知的结果作为特例．
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| 关 键 词： | 有限簇集值映象 变分不等式 算法 Lipschitz连续性 |
| 文章编号： | 0490-6756（2005）04-0692-04 |
| 收稿时间： | 2005-03-03 |
| 修稿时间： | 2005-03-03 |
A Finite Family of Set-valued Variational Inequalitiy |
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| CHENG Li,CHENG Zheng-qiong.A Finite Family of Set-valued Variational Inequalitiy[J].Journal of Sichuan University (Natural Science Edition),2005,42(4):692-695. |
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| Authors: | CHENG Li CHENG Zheng-qiong |
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| Abstract: | Introduce and study a new class of finite family of set-valued variational inequalities, construct an iterative algorithm and prove an existence of solutions for this kind of variational inequalities. And prove the convergence of iterative sequences generated by the algorithm too. The result presented in this paper includes some known results as special cases. |
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| Keywords: | finite family of set-valued mapping variational inequality algorithm Lipschitz continuity |
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