| 关于渐近非扩张映象不动点的一个注记 |
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| 引用本文： | 程从沈,程丛电.关于渐近非扩张映象不动点的一个注记[J].沈阳大学学报,2010,22(1):8-10. |
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| 作者姓名： | 程从沈 程丛电 |
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| 作者单位： | 1. 沈阳大学,理学院,辽宁,沈阳,110041
2. 沈阳师范大学,数学与系统科学学院,辽宁,沈阳,110034 |
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| 摘 要： | 设E是具一致Gateaux可微范数的实Banach空间，D是E的一个凸子集．对于序列{kn}包含0，∞）的渐近非扩张映象T，赵良才和张石生在一定条件下给出并证明了关于T的具误差的Ishikawa迭代序列收敛于丁的不动点．证明了这一结论对于一般的渐近非扩张映象也是成立的．
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| 关 键 词： | 渐近非扩张映象 Ishikawa迭代序列 收敛 不动点 |
A Note on Fixed Point of Asymptotically Nonexpansive Mapping |
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| CHENG Congshen,CHENG Congdian.A Note on Fixed Point of Asymptotically Nonexpansive Mapping[J].Journal of Shenyang University,2010,22(1):8-10. |
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| Authors: | CHENG Congshen CHENG Congdian |
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| Institution: | CHENG Congshen1,CNENG Congdian2(1.School of Science,Shenyang University,Shenyang 110041,China,2.College of Mathematics , Systems Science,Shenyang Normal University,Shenyang 110034,China) |
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| Abstract: | Let E be a real Banach space with a uniformly Gfteaux differentiable norm, D be a nonempty closed convex subset of E. For the asymptotically nonexpansive mapping T with sequence, under a certain condition, Zhao and Zhang proved that the Ishikawa iteration sequence of T with errors converges strongly to the fixed point of T. It was proved that this result is also true for the general asymptotically nonexpansive mapping. |
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| Keywords: | asymptotically nonexpansive mapping Ishikawa iteration sequence converge fixed point |
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