| 一类广义集值变分包含组 |
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| 引用本文： | 李海凤,王田丽.一类广义集值变分包含组[J].华北水利水电学院学报,2007,28(5):96-98. |
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| 作者姓名： | 李海凤 王田丽 |
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| 作者单位： | 华北水利水电学院,河南,郑州,450011 |
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| 摘 要： | 引入了一类新的广义集值变分包含组,应用预解算子技巧,建立了该类变分包含组与一类不动点问题的等价性,进而构造了求解该类变分包含组的迭代算法,并在适当的条件下,证明了该算法的收敛性.
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| 关 键 词： | 广义集值变分包含组 迭代算法 收敛性 |
| 文章编号： | 1002-5634（2007）05-0096-03 |
| 修稿时间： | 2007-02-10 |
A System of Generalized Set-valued Variational Inclusions |
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| LI Hai-feng,WANG Tian-li.A System of Generalized Set-valued Variational Inclusions[J].Journal of North China Institute of Water Conservancy and Hydroelectric Power,2007,28(5):96-98. |
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| Authors: | LI Hai-feng WANG Tian-li |
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| Affiliation: | North China Institute of Water Conservancy and Hydroelectric Power, Zhengzhou 450011 ,China |
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| Abstract: | A new system of generalized set-valued variational inclusions is introduced. By using the implicit resolvent operator technique, the equivalence of the new system of generalized set-valued variational inclusions with a class of fixed point problems is established, then the iterative algorithm for finding the approximate solutions of the system of generalized variational inclusions is proposed. Under suitable conditions, the convergence of the iterative sequence generated by the algorithm suggested is also given. |
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| Keywords: | a system of generalized set-valued variational inclusions iterative algorithm convergence |
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