| 伪压缩映像修正迭代序列的强收敛性 |
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| 引用本文： | 潘灵荣,王元恒. 伪压缩映像修正迭代序列的强收敛性[J]. 浙江师范大学学报(自然科学版), 2008, 31(4): 397-400 |
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| 作者姓名： | 潘灵荣 王元恒 |
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| 作者单位： | 浙江师范大学,数理与信息工程学院,浙江,金华,321004 |
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| 基金项目： | 国家自然科学基金 |
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| 摘 要： | 在严格凸自反的实Banach空间的框架下，用一种变形的隐迭代格式xt=tf（xt）＋ux，＋vTx，，研究一闭凸集合K上的伪压缩映像的不动点问题，当满足适当条件，且t→0，u→0时，{xt}强收敛至T的一个不动点，并且此点也是一类变分不等式的解．
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| 关 键 词： | 隐迭代序列 不动点 强收敛 变分不等式 |
Strong convergence of a modified iterative process for pseudocontractive mappings |
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| PAN Lingrong,WANG Yuanheng. Strong convergence of a modified iterative process for pseudocontractive mappings[J]. Journal of Zhejiang Normal University Natural Sciences, 2008, 31(4): 397-400 |
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| Authors: | PAN Lingrong WANG Yuanheng |
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| Affiliation: | ( College of Mathematics, Physics and Information Engineering, Zhejiang Normal University, Jinhua Zhejiang 321004, China ) |
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| Abstract: | A new iterative process was introduced for pseudocontractive mappings, xt = tf（ xt ） ＋ uxt ＋ vTxt, for t, u, v in [ 0, 1 ], on a closed convex subset of strictly convex and reflexive Banach spaces. It was showed that under appropriate conditions, when t→0, u→0, {xt } would converge strongly to a fixed point of T, which would be also the solution of a variational inequality. |
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| Keywords: | implicit iterative process fixed point strong convergence variational inequality |
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