| 一类强增生型变分不等式解的Mann迭代法 |
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| 引用本文： | 郝彦,周杰. 一类强增生型变分不等式解的Mann迭代法[J]. 大学数学, 2010, 26(3) |
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| 作者姓名： | 郝彦 周杰 |
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| 作者单位： | 浙江海洋学院,信息学院,浙江,舟山,316004 |
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| 摘 要： | 研究了实自反Banach空间中一类具有Lipschitz条件的强增生型变分不等式解的存在性、唯一性及其具有混合误差项的Mann迭代程序的收敛性问题.该文结果是一些作者早期与最近的相应结果的改进与推广.
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| 关 键 词： | 变分不等式 强增生映象 带混合误差项的Mann迭代序列 |
On the Mann-type Iterative Method for Solutions to Certain Strongly Accretive Type Variational Inequality |
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| HAO Yan,ZHOU Jie. On the Mann-type Iterative Method for Solutions to Certain Strongly Accretive Type Variational Inequality[J]. College Mathematics, 2010, 26(3) |
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| Authors: | HAO Yan ZHOU Jie |
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| Abstract: | The purpose of this paper is to investigate the existence and uniqueness of solutions and convergence of Mann iterative process with mixed errors for a class of strongly accretive type variational inequality with Lipschitz condition in real reflexive Banach spaces.The results presented in this paper extend and improve the corresponding results,which were obtained by several authors early and recently. |
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| Keywords: | variational inequality strongly accretive mapping Mann iterative sequence with mixed errors |
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