Approximation of common fixed points of a countable family of nonexpansive mappings in a Banach space
Approximation of common fixed points of a countable family of nonexpansive mappings in a Banach space
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DOI：
10.1016/j.na.2006.08.032
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发表时间：
2007-10-15
影响因子：
1.4
通讯作者：
Toyoda, Masashi
中科院分区：
文献类型：
--
作者：
Aoyama, Koji;Kimura, Yasunori;Toyoda, Masashi
本文引入了一个Halpern型迭代序列，以寻找非扩张映象族的公共不动点。证明了这样的序列强收敛到非扩张映象的公共不动点。此外，我们还将所得结果应用于寻找可数非扩张映象族的公共不动点问题和寻找增生算子的零点问题。(c)2006爱思唯尔有限公司版权所有。
In this paper, to find a common fixed point of a family of nonexpansive mappings, we introduce a Halpern type iterative sequence. Then we prove that such a sequence converges strongly to a common fixed point of nonexpansive mappings. Moreover, we apply our result to the problem of finding a common fixed point of a countable family of nonexpansive mappings and the problem of finding a zero of an accretive operator. (c) 2006 Elsevier Ltd. All rights reserved.