| 非光滑算子方程的单调迭代方法 |
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| 引用本文： | 任秀敏. 非光滑算子方程的单调迭代方法[J]. 宁夏大学学报(自然科学版), 1992, 13(3): 33-40 |
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| 作者姓名： | 任秀敏 |
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| 作者单位： | 宁夏大学数学系 |
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| 摘 要： | 本文首先在PTL空间中研究了非光滑算子方程Fx=O的具有单调收敛性的显式迭代方法,得到了单调列的存在收敛性结果。其次,在半序Banach空间中给出了达代列收敛速度的估计。最后,本文将所讨论的方法用于两点边值问题的求解。
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| 关 键 词： | 算子方程 解 非光滑算子方程 单调迭代法 |
On the Monotone Iterative Methods of Nonsmooth Operator Equations |
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| Ren Xiumin. On the Monotone Iterative Methods of Nonsmooth Operator Equations[J]. Journal of Ningxia University(Natural Science Edition), 1992, 13(3): 33-40 |
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| Authors: | Ren Xiumin |
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| Affiliation: | Department of Mathematics |
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| Abstract: | In this paper we stuay the monotone iterative methods of nonsmooth Operator equation Fx=0 with F from a PTL space to another PTL space. some existence-convergence methods are obtained and the convergent rates in PB spaces are estimated. In addition. for an application of our method, we investigate a two-point boundary value problem. |
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| Keywords: | operator equation order-subdifferentials iterative method |
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