Strong convergence of approximated sequences for nonexpansive mappings in Banach spaces

被引：311
|
作者：
Shioji, N [1 ]
Takahashi, W
机构：
[1] Tamagawa Univ, Fac Engn, Tokyo 194, Japan
[2] Tokyo Inst Technol, Dept Informat Sci, Tokyo 152, Japan
来源：
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 1997年 / 125卷 / 12期
关键词：
nonexpansive mappings; strong convergence; Banach limits; iteration;
D O I：
10.1090/S0002-9939-97-04033-1
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study the convergence of the sequence defined by X-0 is an element of C, x(n)+1 = alpha(n)x + (1-alpha(n))Tx(n), n = 0, 1, 2,..., where 0 less than or equal to alpha(n) less than or equal to 1 and T is a nonexpansive mapping from a closed convex subset of a Banach space into itself.
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页码：3641 / 3645
页数：5
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