| 迭代算法逼近严格伪压缩映象最小范数不动点与变分不等式解 |
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| 引用本文： | 徐卫,李冰冰,屠国燕,董力强.迭代算法逼近严格伪压缩映象最小范数不动点与变分不等式解[J].嘉兴学院学报,2014,26(6):58-63. |
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| 作者姓名： | 徐卫 李冰冰 屠国燕 董力强 |
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| 作者单位： | 同济大学浙江学院,浙江嘉兴,314001 |
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| 摘 要： | 在Hilbert空间中使用迭代格式xn＋1=（1-αn）（δTxn＋（1-δ）xn）,n≥0来研究严格伪压缩映象T的最小范数不动点问题,采用新方法证明当参数满足适当条件时,序列x{n}强收敛至严格伪压缩映象T的最小范数不动点,同时该不动点也是某变分不等式的解.其结果推广与改进了一些近代相关结果.
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| 关 键 词： | 最小范数不动点 严格伪压缩映象 变分不等式 度量投影 迭代算法 |
An Iterative Algorithm for Minimum-norm Fixed Points of Strict Pseudo-contraction and Solutions to a Variational Inequality |
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| Xu Wei,Li Bingbing,Tu Guoyan,Dong Liqiang.An Iterative Algorithm for Minimum-norm Fixed Points of Strict Pseudo-contraction and Solutions to a Variational Inequality[J].Journal of Jiaxing College,2014,26(6):58-63. |
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| Authors: | Xu Wei Li Bingbing Tu Guoyan Dong Liqiang |
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| Institution: | (Tongji Zhejiang College, Jiaxing, Zhejiang 314001) |
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| Abstract: | In this paper,we deal with an iterative algorithm for solving the minimum-norm fixed point problems of strict pseudo-contraction in Hilbert spaces by xn＋1 =（1-αn）（δTxn ＋（1-δ）xn）,where T：C →Cis a k-strict pseudo-contraction.Under certain approximate conditions,the sequence x{n}converges strongly to the minimum-norm fixed point of strict pseudo-contraction T,which is also a solution to a variational inequality.The results here extend and improve some recent related results. |
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| Keywords: | minimum-norm fixed point strict pseudo-contraction variational inequality metric projection iterative algorithm |
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