| Hilbert空间框架下严格渐近伪压缩映像的强收敛定理 |
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| 引用本文： | 秦小龙,吴常群,商美娟.Hilbert空间框架下严格渐近伪压缩映像的强收敛定理[J].数学研究及应用,2009,29(1):43-51. |
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| 作者姓名： | 秦小龙 吴常群 商美娟 |
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| 作者单位： | 天津工业大学理学院数学系, 天津 300160;河南大学管理学院, 河南 开封 475001;石家庄学院数学系, 河北 石家庄 050035 |
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| 基金项目： | 河南大学基金(No.06YBZR034). |
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| 摘 要： | The Mann iterations have no strong convergence even for nonexpansive mappings in Hilbert spaces. The aim of this paper is to propose a modification of the Mann iterations for strictly asymptotically pseudocontractive maps in Hilbert spaces to have strong convergence. Our results extend those of Kim, Xu, Nakajo, Takahashi and many others.
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| 关 键 词： | 非线性 泛函分析 空间理论 向量空间 |
| 收稿时间： | 2006/12/6 0:00:00 |
| 修稿时间： | 2007/7/13 0:00:00 |
Strong Convergence Theorems for Asymptotically Strictly Pseudocontractive Maps in Hilbert Spaces |
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| QIN Xiao Long,WU Chang Qun and SHANG Mei Juan.Strong Convergence Theorems for Asymptotically Strictly Pseudocontractive Maps in Hilbert Spaces[J].Journal of Mathematical Research with Applications,2009,29(1):43-51. |
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| Authors: | QIN Xiao Long WU Chang Qun and SHANG Mei Juan |
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| Institution: | Department of Mathematics, Tianjin Polytechnic University, Tianjin 300160, China;School of Business and Administration, Henan University, Henan 475001, China;Department of Mathematics, Shijiazhuang University, Hebei 050035, China |
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| Abstract: | The Mann iterations have no strong convergence even for nonexpansive mappings in Hilbert spaces. The aim of this paper is to propose a modification of the Mann iterations for strictly asymptotically pseudocontractive maps in Hilbert spaces to have strong convergence. Our results extend those of Kim, Xu$^{4]}$, Nakajo, Takahashi$^{3]}$ and many others. |
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| Keywords: | nonexpansive mappings strictly pseudocontractive mappings Hilbert spaces projection |
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