| Hilbert空间中变分不等式与最小范数不动点问题的Noor三步算法收敛性研究 |
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| 引用本文： | 王波,胡长松. Hilbert空间中变分不等式与最小范数不动点问题的Noor三步算法收敛性研究[J]. 湖北师范学院学报(自然科学版), 2014, 0(4): 68-73 |
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| 作者姓名： | 王波 胡长松 |
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| 作者单位： | 湖北师范学院数学与统计学院,湖北黄石,435002 |
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| 摘 要： | 提出了一个Noor三步算法,该算法找到非扩张映射下的可作为某些变分不等式解的不动点。证明了一个定理并且得到作为定理的一个推论,结果推广并改进了最近他人的结果。
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| 关 键 词： | 非扩张映射 Noor三步算法 不动点 变分不等式 强收敛 |
The strong convergence of a three-step algorithm for variational inequalities and minimum-norm fixed point in Hilbert spaces |
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| WANG Bo,HU Chang-song. The strong convergence of a three-step algorithm for variational inequalities and minimum-norm fixed point in Hilbert spaces[J]. Journal of Hubei Normal University(Natural Science), 2014, 0(4): 68-73 |
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| Authors: | WANG Bo HU Chang-song |
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| Affiliation: | WANG Bo;HU Chang-song;College of Mathematics and Statistics,Hubei Normal University; |
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| Abstract: | In this paper, we introduce a Noor three - step algorithm for finding a fixed point of a nonexparsive mapping T, which is a unique solution of some variational inequalities. We prove a therorem and get a corollary as a special case of our therorem. The main results in this paper exterd and inprove the recent ores annouecd by many others. |
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| Keywords: | nonexpansive mapping Noor three-step method fixed point variational inequality strong convergence Hilbert spac |
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