| 刘英,陈永利.非扩张映射的不动点与变分包含问题的公共解[J].数学研究及应用,2009,29(3):477~484 |
| 非扩张映射的不动点与变分包含问题的公共解 |
| The Common Solution for the Question of Fixed Points and the Question of Variational Inclusions |
| 投稿时间：2007-03-01 修订日期：2007-10-30 |
| DOI：10.3770/j.issn:1000-341X.2009.03.012 |
| 中文关键词: 度量投影 逆强单调映射 非扩张映射 变分包含 强收敛. |
| 英文关键词:inverse-strongly monotone mapping nonexpansive mapping variational inclusion strong convergence. |
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| 中文摘要: |
| 在本文中,我们引入了一种新的迭代算法来逼近非扩张映射的不动点和变分包含问题的解,我们表明建立的这一迭代序列强收敛到这两个问题的公共解.用这一结果,我们考虑了寻找非扩张映射和严格伪压缩映射的公共不动点问题. |
| 英文摘要: |
| In this paper, we introduce an iterative scheme for finding a common element of the set of fixed points of a nonexpansive mapping and the set of solutions of the variational inclusion for an inverse-strongly monotone mapping and a maximal monotone mapping in a real Hilbert space. Then we show that the sequence converges strongly to a common element of two sets. Using the result, we consider the problem of finding a common fixed point of a nonexpansive mapping and a strictly pseudocontractive mapping in a real Hilbert space. |
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