| 非线性映象不动点集的迭代集合序列逼近 |
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| 引用本文： | 杨理平.非线性映象不动点集的迭代集合序列逼近[J].广东工业大学学报,2004,21(2):86-92. |
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| 作者姓名： | 杨理平 |
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| 作者单位： | 广东工业大学应用数学系 广东广州； 510090； |
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| 摘 要： | 在2-一致凸Banach空间的有界闭凸集中讨论第5类非扩张映象T的不动点集F(T)的结构与它的迭代集合序列逼近,得到F(T)是非空的闭凸集,所得结果包含了Browder,Petryshyn,Singh等人的某些结果.
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| 关 键 词： | 一致凸Banach空间 有界闭凸集 集合序列 不动点集 第5类非扩张型映象 |
| 文章编号： | 1007-7162(2004)02-0086-07 |
| 修稿时间： | 2003年3月17日 |
Iterative Approximation of Set Sequences of Fixed Point Set for a Kind of Nonlinear Mapping |
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| YANG Li-ping.Iterative Approximation of Set Sequences of Fixed Point Set for a Kind of Nonlinear Mapping[J].Journal of Guangdong University of Technology,2004,21(2):86-92. |
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| Authors: | YANG Li-ping |
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| Affiliation: | (Dept.of Applied Mathematics, Guangdong University of Technology,Guangzhou 510090,China) |
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| Abstract: | Let B be a 2-uniformly convex Banach space,C be a nonempty closed convex subset of B,and T be the fifth nonexpansive mapping. The structure of its fixed point set F(T) and the iterative approximation of its set sequences are discussed,It proves that F(T) is a nonempty closed convex set.This paper generalizes and extends some of Browder's, Petryshyn's and Singh's results. |
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| Keywords: | uniformly convex Banach space a bounded closed convex set set sequences fixed point set the fifth nonexpansive mapping |
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