| Banach空间中极大单调算子零点的迭代构造 |
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| 引用本文： | 段丽凌,谭瑞林.Banach空间中极大单调算子零点的迭代构造[J].数学的实践与认识,2007,37(13):159-162. |
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| 作者姓名： | 段丽凌 谭瑞林 |
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| 作者单位： | 河北经贸大学,数学与统计学学院,河北,石家庄,050061 |
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| 摘 要： | 设E为实光滑、一致凸Banach空间,E*为其对偶空间,TE×E*为极大单调算子且T-10≠φ.本文引入了一种新迭代格式,利用Lyapunov泛函和广义投影算子等技巧,在Banach空间中证明了迭代序列弱收敛于极大单调算子T的零点的结论.
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| 关 键 词： | 极大单调算子 Lyapunov泛函 广义投影算子 Banach空间 |
| 修稿时间： | 2006年9月14日 |
Construction of Iterative Scheme of Zero Point for Maximal Monotone Operators in Banach Space |
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| DUAN Li-ling,TAN Rui-lin.Construction of Iterative Scheme of Zero Point for Maximal Monotone Operators in Banach Space[J].Mathematics in Practice and Theory,2007,37(13):159-162. |
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| Authors: | DUAN Li-ling TAN Rui-lin |
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| Abstract: | Let E be a real smooth and uniformly convex space with E* its duality space.Let TE×E* be a maximal monotone operator with T-10≠φ.A new iterative scheme is introduced which is proved to be weakly convergent to zero point of maximal monotone operator T by using the techniques of Lyapunov functional and generalized projection operator,etc. |
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| Keywords: | maximal monotone operator lyapunov functional generalized projection operator banach space |
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