| Convergence Theorems of Mann and Ishikawa Iterative Processes with Errors for Multivalued Φ－strongly Accretive Mapping |
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| 引用本文： | 张国伟.Convergence Theorems of Mann and Ishikawa Iterative Processes with Errors for Multivalued Φ－strongly Accretive Mapping[J].东北数学,2003,19(2):174-180. |
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| 作者姓名： | 张国伟 |
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| 作者单位： | DepartmentofMathematics,ShandongUniversity,Jinan,250100；DepartmentofMathematics,NortheasternUniversity,Shenyang,110006 |
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| 摘 要： | Let X be a real Banach space and A : X→ 2^X a bounded uniformly continuous Φ-strongly accretive multivalued mapping. For any f∈ X, Mann and Ishikawa iterative processes with errors converge strongly to the unique solution of Ax(←∈) f. The conclusion in this paper weakens the stronger conditions about errors in Chidume and Moore‘s theorem (J.Math.Anal .Appl.,245(2000),142-160).
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| 关 键 词： | 收敛定理 Ф－强增生映射 误差项 Mann－Ishikawa迭代 Banach空间 解 对偶映射 序列 多值映射 |
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