| Banach空间中一类变分不等式的强收敛定理 |
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| 引用本文： | 刘英,佟慧.Banach空间中一类变分不等式的强收敛定理[J].系统科学与数学,2010,30(4):468-475. |
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| 作者姓名： | 刘英 佟慧 |
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| 作者单位： | 河北大学数学与计算机学院,保定,071002 |
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| 基金项目： | 河北省教育厅资助项目，保定市科技局 |
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| 摘 要： | 应用广义投影算子引入了一类新的CQ迭代方法,并用此方法在Banach空间的非紧子集上证明了一个关于变分不等式的强收敛定理;这一定理所用的迭代方法不同于最近的一些相关定理,而且所得结论更加具体;最后,又用这一结果,考虑了在Banach空间,算子T的零点问题.
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| 关 键 词： | 变分不等式 CQ迭代法 广义投影算子 紧算子. |
| 收稿时间： | 2008-2-27 |
| 修稿时间： | 2009-12-31 |
STRONG CONVERGENCE THEOREMS FOR VARIATIONAL INEQUALITIES IN A BANACH SPACE |
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| LIU Ying,TONG Hui.STRONG CONVERGENCE THEOREMS FOR VARIATIONAL INEQUALITIES IN A BANACH SPACE[J].Journal of Systems Science and Mathematical Sciences,2010,30(4):468-475. |
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| Authors: | LIU Ying TONG Hui |
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| Institution: | College of Mathematics and Computer, Hebei University, Baoding 071002 |
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| Abstract: | In this paper, a new CQ iterative method is introduced by using the generalized projection operator, and then a strong convergence theorem for variational inequality in noncompact subset of Banach space is proved by the method. This theorem is more concrete than previous related results. Finally, the problem of zero point for an operator in Banach space is investigated by the resultant theorem. |
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| Keywords: | Variational inequality CQ iterative method generalized projection operator compact operator |
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