| 一类T单调算子障碍问题的块单调迭代法 |
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| 引用本文： | 任明慧,陈高洁.一类T单调算子障碍问题的块单调迭代法[J].应用数学学报,2007,30(2):334-345. |
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| 作者姓名： | 任明慧 陈高洁 |
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| 作者单位： | 1. 湖南文理学院数学系,常德,415000
2. 湖南大学数学与计量经济学院,长沙,410082 |
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| 基金项目： | 国家自然科学基金;教育部高等学校优秀青年教师教学科研奖励计划 |
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| 摘 要： | 本文对一类T单调算子的障碍问题提出了几个块迭代法．所得的迭代序列为上解序列和下解序列,它们均单调收敛于问题的准确解,本文建立了这些算法的比较定理．
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| 关 键 词： | 块单调迭代 障碍问题 上解 下解 |
| 修稿时间： | 2005-12-132007-03-23 |
Block Monotone Iterative Methods for a Type of T-monotone Operators |
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| REN MINGHUI,CHEN GAOJIE.Block Monotone Iterative Methods for a Type of T-monotone Operators[J].Acta Mathematicae Applicatae Sinica,2007,30(2):334-345. |
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| Authors: | REN MINGHUI CHEN GAOJIE |
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| Institution: | 1Department of Mathematics, Hunan University of Art and Science, Changde 415000;2College of Mathematics and Econometrics, Hunan University, Changsha 410082 |
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| Abstract: | In this paper,We propose several block iterative methods for obstacle problems with a type of T-monotone operators.Any iterative sequence generated by the algorithms is a upper solution or a lower solution sequence,which converges monotonically to the solution of the problem.We prove comparison theorems about these algorithms. |
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| Keywords: | block Monotone iterative scheme obstacle problem upper solution low solution |
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