| Banach空间中严格伪压缩映射可数族的弱收敛定理 |
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| 引用本文： | 冯宇,郑泽申.Banach空间中严格伪压缩映射可数族的弱收敛定理[J].内江师范学院学报,2014(4):14-18. |
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| 作者姓名： | 冯宇 郑泽申 |
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| 作者单位： | 成都信息工程学院应用数学学院,四川成都610225 |
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| 基金项目： | 国家自然科学基金资助项目（11171046） |
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| 摘 要： | E是一致凸Banach空间,其中E具有Fréchetke可微范数.在空间E中研究了严格伪压缩可数族Mann型迭代方案的收敛性.该研究结论将有限映射族推广到无限映身之类,将空间背景削弱成了具有Fréchetke可微范数的实一致凸Banach空间及其它相应的结论.
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| 关 键 词： | 公共不动点 收敛定理 λ-严格伪压缩映射 Mann迭代 一致凸Banach空间 |
Weak Convergence Theorems of Countable Families of Strictly Pseudo-contractive Mappings in Banach Space |
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| FENG Yu,ZHENG Ze-shen.Weak Convergence Theorems of Countable Families of Strictly Pseudo-contractive Mappings in Banach Space[J].Journal of Neijiang Teachers College,2014(4):14-18. |
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| Authors: | FENG Yu ZHENG Ze-shen |
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| Institution: | (College of Applied Mathematics, Chengdu University of Information Technology, Chengdu 601225, China) |
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| Abstract: | E is A uniformly convex Banach space with the Fréchetke differentiable norm. In Space E , the convergence properties of the Mann-type iterative scheme is put under examination for the strictly pseudo-contractive countable families. The findings of this study will be popularized from a finite mapping family to an infinite mapping family, and thus weaken the space background into a real uniformly convex Babach space with the Fréchetke differentiable norms. |
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| Keywords: | common fixed points convergence theorems h-strictly pseudo contractive-mappings Mann iteration uni- formly convex Banach spaces |
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