| 解实q一致光滑Banach空间中的带有P-η-增生算子的变分包含问题 |
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| 引用本文： | 毕亮亮,范丽亚.解实q一致光滑Banach空间中的带有P-η-增生算子的变分包含问题[J].山东大学学报(理学版),2010,45(3):96-101. |
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| 作者姓名： | 毕亮亮 范丽亚 |
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| 作者单位： | 聊城大学数学科学学院,山东聊城,252059 |
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| 基金项目： | 国家自然科学基金，教育部科学技术研究项目 |
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| 摘 要： | 介绍了q一致光滑Banach空间中一类带有P-η-增生算子的变分包含问题。利用P-η-增生算子的预解算子, 提出了一个求解这类变分包含问题的迭代算法, 并分析了算法的强收敛性。
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| 关 键 词： | P-η-增生算子 预解算子 变分包含 迭代算法 实q-致光滑Banach空间 |
| 收稿时间： | 2008-06-23 |
Solving a variational inclusion with P-η-accretive operators in real q-uniformly smooth Banach spaces |
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| BI Liang-liang,FAN Li-ya.Solving a variational inclusion with P-η-accretive operators in real q-uniformly smooth Banach spaces[J].Journal of Shandong University,2010,45(3):96-101. |
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| Authors: | BI Liang-liang FAN Li-ya |
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| Institution: | School of Mathematics Science, Liaocheng University, Liaocheng 252059, Shandong, China |
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| Abstract: | A kind of variational inclusions with P-η-accretive operators is introduced in the setting of real q-uniformly smooth Banach spaces. An iterative method for solving this kind of variational inclusion is presented and analyzed by means of the resolvent operators of P-η-accretive operators. |
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| Keywords: | resolvent operator variational inclusion iterative algorithm real q-uniformly smooth Banach space |
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