| 任意Banach空间中多值Φ-强增生型非线性算子方程的迭代解 |
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| 引用本文： | 谷峰. 任意Banach空间中多值Φ-强增生型非线性算子方程的迭代解[J]. 信阳师范学院学报(自然科学版), 2002, 15(2): 148-154 |
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| 作者姓名： | 谷峰 |
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| 作者单位： | 齐齐哈尔大学,数学系,黑龙江,齐齐哈尔,161006 |
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| 基金项目： | Supported by the Nature Science Foundation of Heilongjiang provice (A 96 19) |
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| 摘 要： | 使用一些分析技巧，讨论了任意Banach空间中的多值和单值φ－强增生型非线性算子方程解的迭代逼近问题，且算子不必满足Lipschitz条件，这些结果改进和发展了Chang,Chidume,Deng-Ding,Liu,Osilike以及Tan-Xu等人的一系列相关结果。
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| 关 键 词： | 迭代逼近问题 φ－强增生算子 具误差Ishikawa迭代序列 具误差Mann迭代序列 Banach空间 多值φ－强增生型非线性算子方程 迭代解 |
Iterative solutions of nonlinear equations for multi-valued Φ-strongly accretive type operators in arbitrary Banach spaces |
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| Abstract. Iterative solutions of nonlinear equations for multi-valued Φ-strongly accretive type operators in arbitrary Banach spaces[J]. Journal of Xinyang Teachers College(Natural Science Edition), 2002, 15(2): 148-154 |
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| Authors: | Abstract |
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| Abstract: | Using some analysis techniques,we discuss problem of iterative approximation of solutions of the nonlinear equation for multi-valued Φ-strongly accretive operators in arbitrary Banach spaces.The operators may not satisfy Lipschitzian conditions.Our results improve and extend the corresponding results by Chang,Chidume,Deng and Ding,Liu,Osilike and Tan and Xu,et al. |
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| Keywords: | strongly accretive operator Ishikawa iterative sequence with error Mann iterative sequence with error |
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