A strong convergence theorem for asymptotically nonexpansive mappings in Banach spaces

被引：26
|
作者：
Shioji, N
Takahashhi, W
机构：
[1] Tamagawa Univ, Fac Engn, Tokyo 194, Japan
[2] Tokyo Inst Technol, Dept Math & Comp Sci, Meguro Ku, Tokyo 152, Japan
来源：
ARCHIV DER MATHEMATIK | 1999年 / 72卷 / 05期
关键词：
D O I：
10.1007/s000130050343
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let C be a closed, convex subset of a uniformly convex Banach space whose norm is uniformly Gateaux differentiable and let T be an asymptotically nonexpansive mapping from C into itself such that the set F(T) of fixed points of T is nonempty. Let {a(n)} be a sequence of real numbers with 0 less than or equal to a(n) less than or equal to 1, and let x and x(o) be elements of C. In this paper, we study the convergence of the sequence {x(n)} defined by [GRAPHICS]
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收藏
页码：354 / 359
页数：6
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