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| 摘要: |
| 本文研究了Lipschitzian伪压缩映射的合成隐迭代序列.利用伪压缩映射等价不等式,在Banach空间中,得到了合成隐迭代序列强收敛的充分必要条件,推广了一些相关的结果. |
| 关键词: 伪压缩映射 不动点 合成隐迭代序列 Banach空间 |
| DOI： |
| 分类号:O177.91 |
| 基金项目:Supported by National Natural Science Foundation of China (11271282). |
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| COMPOSITE IMPLICIT ITERATION PROCESS FOR A LIPSCHITZIAN PSEUDOCONTRACTIVE MAPPING |
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KAN Xu-zhou,GUO Wei-ping
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| Abstract: |
| In this paper, the composite implicit iterative process for a Lipschitzian pseudocontractive mapping is studied. By using the corresponding equivalent inequality of pseudocontractive mapping, the sufficient and necessary conditions for the strong convergence of the composite implicit iterative process are obtained in Banach spaces, which generalize some related results. |
| Key words: pseudocontractive mapping fixed point composite implicit iterative scheme Banach space |
