| 增生算子迭代法与收缩半群强收敛的充要条件 |
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| 引用本文： | 倪仁兴.增生算子迭代法与收缩半群强收敛的充要条件[J].高校应用数学学报(A辑),2000,15(4):433-439. |
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| 作者姓名： | 倪仁兴 |
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| 作者单位： | 绍兴文理学院,数学系,浙江,绍兴,312000 |
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| 基金项目： | 浙江省重点扶植学科基金，， |
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| 摘 要： | 在一定条件下，证明了增生算子的预解式迭代法强收敛于零点的充要条件，以及非线性收缩半群强收敛于平衡点的充要条件。这些与蒋耀林等人（1994年）所获得的相应弱收敛充要条件相对应。
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| 关 键 词： | 增生算子 预解式迭代法 非线性收缩半群 强收敛 充要条件 |
| 修稿时间： | 1999-07-02 |
A NECESSARY AND SUFFICIENT CONDITION FOR STRONG CONVERGENCE OF ITERATIVE METHODS FOR ACCRETIVE OPERATORS AND OF CONTRACTION SEMIGROUPS |
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| Ni Renxing.A NECESSARY AND SUFFICIENT CONDITION FOR STRONG CONVERGENCE OF ITERATIVE METHODS FOR ACCRETIVE OPERATORS AND OF CONTRACTION SEMIGROUPS[J].Applied Mathematics A Journal of Chinese Universities,2000,15(4):433-439. |
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| Authors: | Ni Renxing |
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| Abstract: | A necessary and sufficient condition is presented which ensures the strong convergence of the resolvent iterations to accretive opeartors and of the contraction semigroups in Banach spaces. The conclusion can be regarded as a weakly topological version of the theorem established by Jiang Yaolin et al. (1994). |
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| Keywords: | Resolvent Iterative Methods for Accretive Operators Nonlinear Contraction Semigroups Strong Convergence Necessary and Sufficient Condition |
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