| 一族拟-$phi$-渐近非扩张映像的强收敛定理 |
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| 引用本文： | 高兴慧,周海云. 一族拟-$phi$-渐近非扩张映像的强收敛定理[J]. 数学研究及应用, 2011, 31(2): 303-314 |
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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;军械工程学院数学系, 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). |
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| 摘 要： | The purpose of this article is to propose a modified hybrid projection algorithm and prove a strong convergence theorem for a family of quasi-φ-asymptotically nonexpansive mappings.Its results hold in reflexive,strictly convex,smooth Banach spaces with the property（K）.The results of this paper improve and extend recent some relative results.
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| 关 键 词： | quasi-φ-asymptotically nonexpansive mapping hybrid algorithm generalized projection strong convergence theorem |
| 收稿时间： | 2009-04-29 |
| 修稿时间： | 2009-09-18 |
Strong Convergence Theorems for a Family of Quasi-$phi$-Asymptotically Nonexpansive Mappings |
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| Xing Hui GAO and Hai Yun ZHOU. Strong Convergence Theorems for a Family of Quasi-$phi$-Asymptotically Nonexpansive Mappings[J]. Journal of Mathematical Research with Applications, 2011, 31(2): 303-314 |
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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 Mathematics, People's Liberation Army Ordnance Engineering College, Hebei $050003$, P. R. China |
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| Abstract: | The purpose of this article is to propose a modified hybrid projection algorithm and prove a strong convergence theorem for a family of quasi-$phi$-asymptotically nonexpansive mappings. Its results hold in reflexive, strictly convex, smooth Banach spaces with the property(K). The results of this paper improve and extend recent some relative results. |
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| Keywords: | quasi-$phi$-asymptotically nonexpansive mapping hybrid algorithm generalized projection strong convergence theorem. |
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