| Banach空间中两个多值非扩张映射不动点的迭代逼近问题 |
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| 引用本文： | 周银英,曹建涛. Banach空间中两个多值非扩张映射不动点的迭代逼近问题[J]. 数学的实践与认识, 2014, 0(17) |
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| 作者姓名： | 周银英 曹建涛 |
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| 作者单位： | 廊坊师范学院数学与信息科学学院; |
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| 基金项目： | 河北省教育厅资助项目(2011169);廊坊师范学院资助项目(LSZY201307) |
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| 摘 要： | 研究了两个多值非扩张映射的公共不动点的迭代逼近问题.利用Hausdoff度量,引入了一类新的Ischikawa型迭代,在一致凸的Banach空间里,证明了在某些条件下,此迭代序列强收敛到多值非扩张映射的公共不动点.改进和推广了文献的相关结果.
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| 关 键 词： | 多值非扩张映射 不动点 迭代算法 强收敛 |
Iterative Approximation Problem of Fixed Point for two Multivalued Nonexpansive Mappings in Banach Space |
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| Abstract: | The purpose of this paper is the use of Hausdoff metric to study the common fixed points of two multivalued mappings.we construct a new class of Ishikawa iterative schemes to approximate common fixed points of two multivalued mappings in a real uniformly convex Banach space and establish strong convergence theorems under some conditions.These improve and extend some corresponding results in. |
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| Keywords: | multivalued nonexpansive mappings fixed point iterative algorithm strong convergence |
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