Strong convergence of approximated sequences for nonexpansive mappings in Banach spaces

被引：312

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.

引用

页码：3641 / 3645

页数：5

共 7 条

[1]

Banach Stefan, 1932, Theorie des operations lineaires

[2] FIXED POINTS OF NONEXPANDING MAPS [J].