两族集值渐近非扩张映射的不动点收敛定理

宋传静; 吴健荣

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两族集值渐近非扩张映射的不动点收敛定理

1.
苏州科技学院~数理学院江苏~~苏州 215011

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中图分类号: O177
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- 文章访问数: 1911
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出版历程
- 收稿日期: 2012-04-01
- 修回日期: 2012-07-01
- 刊出日期: 2013-01-25

Convergence theorems for the fixed points of two finite families of set-valued asymptotically nonexpansive mappings

1.
School of Mathematics and Physics, Suzhou University of Science and Technology, Suzhou Jiangsu

摘要

摘要: 研究一致凸\,Banach\,空间中两族集值渐近非扩张映射的公共不动点逼近问题. 构造关于两族集值渐近非扩张映射的有限步迭代序列; 在适当条件下, 证明了该序列收敛到公共不动点的一些强收敛定理; 改进和推广了一些相关文献的结果.
- 一致凸\,Banach\,空间 /
- 集值渐近非扩张映射 /
- 有限步迭代序列 /
- 公共不动点
Abstract: The common fixed points of two finite families of set-valued asymptotically nonexpansive mappings were studied in real uniformly convex Banach spaces. A finite-step iteration process for these two families was introduced, and some strong convergence theorems for this scheme were proved. The results improve and extend some recent relative results.
- uniformly convex Banach space /
- set-valued asymptotically nonexpansive mapping /
- finite-step iteration process /
- common fixed points

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参考文献(1)

[1]

{1}

OSILIKE M O, UDOMENE A. Weak and strong convergence theorems for

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数学的实践与认识, 2009, 39(2): 135-139.

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两族集值渐近非扩张映射的不动点收敛定理

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Convergence theorems for the fixed points of two finite families of set-valued asymptotically nonexpansive mappings

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出版历程

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