| Banach空间中强增生和强伪压缩算子迭代序列的收敛定理 |
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| 引用本文： | 倪仁兴.Banach空间中强增生和强伪压缩算子迭代序列的收敛定理[J].绍兴文理学院学报,1999(5). |
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| 作者姓名： | 倪仁兴 |
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| 作者单位： | 绍兴文理学院数学系!绍兴，312000 |
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| 摘 要： | 用新的不等式及新的逼近方法证明了Banach空间中强增生和强伪压缩算子Ishikawa和Mann迭代序列的若干收敛定理．我们的结果统一和推广了近期相应的一些结果，并完整地回答了Chidume提出的两个公开问题．
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| 关 键 词： | 强增生算子 强伪压缩算子 Ishikawa迭代序列 Mann迭代序列 对偶映射 |
Convergence Theorems of the Ishikawa and Mann Iteration Sequences for Strongly Accretive and Strongly Pseudo-contractive Operators in Banach Spaces |
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| Ni Renxing.Convergence Theorems of the Ishikawa and Mann Iteration Sequences for Strongly Accretive and Strongly Pseudo-contractive Operators in Banach Spaces[J].Journal of Shaoxing College of Arts and Sciences,1999(5). |
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| Authors: | Ni Renxing |
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| Institution: | Department of Mathematics |
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| Abstract: | In the present paper,by virture of the new inequality and the new approximation methods, we prove some new convergence theorems of the Ishikawa and Mann iteration sequences for strongly accretive and strongly pseudo-contractive operators in Banach spaces.Our results unify,improve and extend the recent corresponding results, and fully answer the open questions put forward by Chidume. |
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| Keywords: | strongly accretive operator strongly pseudo-contractive operator Ishikawa iteration sequence Mann iteration sequence duality mapping |
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