Iterative approximation of fixed points of (Asymptotically) nonexpansive mappings

被引：0
|
作者：
Luchuan Z. [1 ]
机构：
[1] Dept. of Math, Shanghai Normal Univ, Shanghai
来源：
Applied Mathematics-A Journal of Chinese Universities | 2001年 / 16卷 / 4期
基金：
中国国家自然科学基金;
关键词：
(Asymptotically) nonexpansive mapping; Fixed point; Frechet differentiable norm; Modified Ishikawa iteration process; Opial condition;
D O I：
10.1007/s11766-001-0008-0
中图分类号：
学科分类号：
摘要：
Let E be a uniformly convex Banach space which satisfies Opial’s condition or has a Frechet differentiable norm, and C be a bounded closed convex subset of E. If T: C→C is (asymptotically)nonexpansive,then the modified Isbikawa iteration process defined by xn+l= tnTn(snTnxn+ (1–sn) xn) + (1–tn)xn converges weakly to a fixed point of T, where {tn} and {sn} are sequences in [0, 1] with some restrictions. © 2001, Springer Verlag. All rights reserved.
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页码：402 / 408
页数：6
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