| Banach空间中一族拟$phi$-严格渐近伪压缩映像的收缩投影方法 |
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| 引用本文： | 高兴慧,周海云. Banach空间中一族拟$phi$-严格渐近伪压缩映像的收缩投影方法[J]. 数学研究及应用, 2011, 31(5): 905-914 |
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| 作者姓名： | 高兴慧 周海云 |
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| 作者单位： | 延安大学 数学与计算机科学学院，陕西 延安 716000;军械工程学院基础部, 河北 石家庄 050003 |
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| 基金项目： | 国家自然科学基金(Grant No.10771050), 陕西省教育厅科研计划项目(Grant No.11JK0486). |
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| 摘 要： | The purpose of this article is to propose a shrinking projection method and prove a strong convergence theorem for a family of quasi-φ-strict asymptotically pseudo-contractions. Its results hold in reflexive, strictly convex, smooth Banach spaces with the property （K）. The results of this paper improve and extend the results of Matsushita and Takahashi, Marino and Xu, Zhou and Gao and others.
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| 关 键 词： | strong convergence a family of quasi-φ-strict asymptotically pseudo-contractions generalized projection shrinking projection method Banach spaces. |
| 收稿时间： | 2010-04-19 |
| 修稿时间： | 2010-10-12 |
Shrinking Projection Methods for a Family of Quasi-$phi$-Strict Asymptotically Pseudo-Contractions in Banach Spaces |
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| Xing Hui GAO and Hai Yun ZHOU. Shrinking Projection Methods for a Family of Quasi-$phi$-Strict Asymptotically Pseudo-Contractions in Banach Spaces[J]. Journal of Mathematical Research with Applications, 2011, 31(5): 905-914 |
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| Authors: | Xing Hui GAO and Hai Yun ZHOU |
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| Affiliation: | College of Mathematics and Computer Science, Yan'an University, Shaanxi 716000, P. R. China;Department of Basic Courses, Shijiazhuang Mechanical Engineering College, Hebei 050003, P. R. China |
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| Abstract: | The purpose of this article is to propose a shrinking projection method and prove a strong convergence theorem for a family of quasi-$phi$-strict asymptotically pseudo-contractions. Its results hold in reflexive, strictly convex, smooth Banach spaces with the property (K). The results of this paper improve and extend the results of Matsushita and Takahashi, Marino and Xu, Zhou and Gao and others. |
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| Keywords: | strong convergence a family of quasi-$phi$-strict asymptotically pseudo-contractions generalized projection shrinking projection method Banach spaces. |
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