| 关于(H,η)单调算子的非线性集值算子包含的迭代算法 |
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| 引用本文： | 余显志,邓磊. 关于(H,η)单调算子的非线性集值算子包含的迭代算法[J]. 西南师范大学学报(自然科学版), 2006, 31(5): 6-9 |
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| 作者姓名： | 余显志 邓磊 |
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| 作者单位： | 西南大学,数学与统计学院,重庆,400715 |
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| 基金项目： | 国家自然科学基金资助项目(10471113)，重庆市科委自然科学基金资助项目(CSTC,2005BB2097) . |
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| 摘 要： | 引进了关于H和G的强单调性概念,在Hilbert空间中研究了新的一类关于( H,η)单调算子的非线性集值算子包含.应用与( H,η)单调算子相关的预解算子技巧提出了一个迭代算法逼近其解,并且讨论了由此算法产生的迭代序列的收敛特征.
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| 关 键 词： | ( H η)单调算子 预解算子技巧 算子包含 迭代算法 |
| 文章编号： | 1000-5471（2006）05-0006-04 |
| 收稿时间： | 2005-11-01 |
| 修稿时间： | 2005-11-01 |
An Iterative Algorithm for Nonlinear Set-Valued Operator Inclusions Involving (H, η) -Monotone Operators |
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| YU Xian-zhi,DENG Lei. An Iterative Algorithm for Nonlinear Set-Valued Operator Inclusions Involving (H, η) -Monotone Operators[J]. Journal of southwest china normal university(natural science edition), 2006, 31(5): 6-9 |
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| Authors: | YU Xian-zhi DENG Lei |
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| Affiliation: | School of Mathematics and Statistics, Southwest University, Chongqing 400715, China |
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| Abstract: | The concept of strongly monotonicity with respect to H and G and a new kind of nonlinear set-valued operator inclusions (NSVOI) with (H, η)-monotone operators are introduced in Hilbert space. Using resolvent operator technique associated with an (H, η)-monotone operator, the authors suggest a new iterative algorithm for approximating a solution to (NSVOI) and also discuss the convergence criteria of iterative sequences generated by the algorithm. |
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| Keywords: | resolvent operator technique operator inclusion iterative algorithm |
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