| Banach空间中渐近非扩张映射不动点的粘性逼近 |
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| 引用本文： | 彭春,嵇伟明.Banach空间中渐近非扩张映射不动点的粘性逼近[J].数学的实践与认识,2011,41(2). |
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| 作者姓名： | 彭春 嵇伟明 |
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| 作者单位： | 淮阴师范学院数学科学学院,江苏,淮安,223300 |
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| 基金项目： | 江苏省教育厅自然科学基金(06KJB110010) |
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| 摘 要： | 在一致凸并具有一致G可微范数的Banach空间中,研究一类渐近非扩张映象迭代序列的收敛性,给出强收敛定理.
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| 关 键 词： | 粘性逼近 渐近非扩张映射 不动点 一致凸 一致G可微范数 |
Viscosity approximation of Fixed Point for Asymptotically Non-expansive Mappings |
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| PENG Chun,JI Wei-ming.Viscosity approximation of Fixed Point for Asymptotically Non-expansive Mappings[J].Mathematics in Practice and Theory,2011,41(2). |
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| Authors: | PENG Chun JI Wei-ming |
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| Institution: | PENG Chun,JI Wei-ming (School of Mathematical Science,Huaiyin Normal University,Huaian 223300,China) |
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| Abstract: | The strong convergence of some iterative sequence for asymptotically nonex-pansive mappings in real Banach spaces with a uniformly Gateaux differentiable norm and uniformly convex is studied,and the strong convergence theorem is given. |
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| Keywords: | Viscosity approximation fixed point asymptotically nonexpansive mapping uniformly convex uniformly Gateaux differentiable norm |
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