| 集值非扩张映象不动点存在与收敛性 |
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| 引用本文： | 张晓华,任必军.集值非扩张映象不动点存在与收敛性[J].河南师范大学学报(自然科学版),2009,37(2). |
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| 作者姓名： | 张晓华 任必军 |
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| 作者单位： | 1. 鹤壁职业技术学院,电子信息工程系,河南,鹤壁,458030
2. 河南财政税务高等专科学校,信息工程系,郑州,450002 |
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| 摘 要： | 讨论了δ集值非扩张映象在一致凸Banach空间中不动点非空的充分必要条件与Ishikawa迭代序列的收敛性及确保迭代程序收敛到不动点的条件,所得结果是单值非扩张映象的推广和发展.
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| 关 键 词： | δ集值非扩张 不动点 迭代序列 一致凸 |
Convergence and Existence of Fixed Points of Set-valued Nonexpansive Mapping |
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| ZHANG Xiao-hua,REN Bi-jun.Convergence and Existence of Fixed Points of Set-valued Nonexpansive Mapping[J].Journal of Henan Normal University(Natural Science),2009,37(2). |
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| Authors: | ZHANG Xiao-hua REN Bi-jun |
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| Institution: | 1.Electrionic and Information Engineering Department;Hebi Vocational Technical College;Hebi 458030;China;2.Information Engineering Department;Henan Finance & Taxation College;Zhengzhou 450002;China |
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| Abstract: | This paper discusses convergence of Ishikawa iteration sequence and existence of fixed points for set-valued nonexpansive mapping in uniformly covex Banach space,and the conditions are shown which guarantee the convergence of the iteration sequence to a fixed point.The result generalizes and develops some known results of single-valued nonexpansive mapping. |
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| Keywords: | set-valued nonexpansive iteration sequence fixed point uniformly convex |
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