| Lipschitz强增生算子的非线性方程解的迭代逼近 |
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| 引用本文： | 曾六川,刘瑞娟.Lipschitz强增生算子的非线性方程解的迭代逼近[J].上海师范大学学报(自然科学版),2002,31(3):7-13. |
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| 作者姓名： | 曾六川 刘瑞娟 |
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| 作者单位： | 上海师范大学,数理信息学院,上海200234 |
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| 基金项目： | ProjectsupportedbytheNationalNaturalScienceFoundationofChina( 1 980 1 0 2 3) |
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| 摘 要： | 研究了p一致光滑Banach空间中Lipschitz强增生算子方程解的Ishikawa的迭代过程的收敛性 ,改进与推广了一些最近结果
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| 关 键 词： | Ishikawa迭代 Lipschitz强增生算子 伪压缩映像 |
Iterative Approximation of Solutions to Nonlinear Equations of Lipschitzian and Strongly Accretive Operators |
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| Abstract.Iterative Approximation of Solutions to Nonlinear Equations of Lipschitzian and Strongly Accretive Operators[J].Journal of Shanghai Normal University(Natural Sciences),2002,31(3):7-13. |
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| Authors: | Abstract |
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| Abstract: | In this paper, we investigate the Ishikawa iteration process converges strongly to the unique solution of the equation Tx=f in case T is a Lipschitzian and strongly accretive operator from X into X, or to the unique fixed point of T in case T is a Lipschitzian and strictly pseudocontractive mapping from a bounded closed convex subset into itself. Our results improve and extend some recent results. |
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| Keywords: | iterative approximation Lipschitzian Strongly accretive operator pseudocontractive mapping |
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