| 集值渐近拟非扩张映射的不动点收敛定理 |
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| 引用本文： | 常娟,吴健荣. 集值渐近拟非扩张映射的不动点收敛定理[J]. 应用泛函分析学报, 2014, 0(1): 73-78 |
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| 作者姓名： | 常娟 吴健荣 |
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| 作者单位： | 苏州科技学院数理学院,苏州215011 |
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| 基金项目： | 国家自然科学基金（11371013） |
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| 摘 要： | 研究一致凸Banach空间中集值渐近拟非扩张映射的关于有限步迭代序列逼近公共不动点的充分必要条件,并在此条件下,证明了该序列收敛到公共不动点的一些强收敛定理,所得结果是单值映射情形的推广和发展.
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| 关 键 词： | 一致凸Banach空间 集值渐近拟非扩张映射 有限步迭代序列 公共不动点 收敛定理 |
Convergence Theorems for Fixed Points of Set-valued Asymptotically Quasi-nonexpansive Mappings |
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| CHANG Juan,WU Jianrong. Convergence Theorems for Fixed Points of Set-valued Asymptotically Quasi-nonexpansive Mappings[J]. Acta Analysis Functionalis Applicata, 2014, 0(1): 73-78 |
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| Authors: | CHANG Juan WU Jianrong |
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| Affiliation: | (School of Mathematics and Physics, Suzhou University of Science and Technology, Suzhou 215011, China) |
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| Abstract: | In this paper, the necessary and sufficient conditions of set-valued asymptotically quasi- nonexpansive mapping for approximating common fixed point of a finite step iterative are studied in uniformly convex Banach spaces, and some strong convergence theorems for this scheme are proved, the results presented in this paper generalizes and develops some known results of single- valued mapping. |
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| Keywords: | uniformly convex Banach space set-valued asymptotically quasi-nonexpansive map-ping finite-step iteration process common fixed point convergence theorems |
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