| 集值非扩张映象不动点存在与收敛性 |
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| 引用本文： | 李红玉,陈汝栋,李红智. 集值非扩张映象不动点存在与收敛性[J]. 数学的实践与认识, 2009, 39(2) |
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| 作者姓名： | 李红玉 陈汝栋 李红智 |
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| 作者单位： | 1. 天津工业大学理学院,数学系,天津,300160
2. 河北农业大学理学院,数学系,保定,071001 |
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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情形的推广和发展.
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| 关 键 词： | δ集值非扩张 不动点 迭代序列 收敛性 一致凸Banach空间 Opial条件 |
Convergence and Existence of Fixed Points of Set-valued Nonexpansive Mapping |
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| LI Hong-yu,CHEN Ru-dong,LI Hong-zhi. Convergence and Existence of Fixed Points of Set-valued Nonexpansive Mapping[J]. Mathematics in Practice and Theory, 2009, 39(2) |
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| Authors: | LI Hong-yu CHEN Ru-dong LI Hong-zhi |
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| Abstract: | This paper discusses convergence of Ishikawa iteration sequence and existence of fixed points for δset-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 convergence fixed point uniformly convex Banach space opial condition |
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