A reconsideration on convergence of three-step iterations for asymptotically nonexpansive mappings

被引：9
|
作者：
Nilsrakoo, Weerayuth
Saejung, Satit [1 ]
机构：
[1] Khon Kaen Univ, Dept Math, Khon Kaen 40002, Thailand
[2] Ubon Rajathanee Univ, Dept Math Stat & Comp, Ubon Ratchathani 34190, Thailand
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2007年 / 190卷 / 02期
关键词：
asymptotically nonexpansive mapping; uniformly convex Banach space; three-step iteration; convergence theorem;
D O I：
10.1016/j.amc.2007.02.026
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We illustrate that the control conditions of the main convergence theorems of Yao and Noor [Convergence of three-step iterations for asymptotically nonexpansive mappings, Appl. Math. Comput. in press] are incorrect. We also provide new control conditions which are complementary to Nilsrakoo and Saejung's results [W. Nilsrakoo, S. Saejung, A new three-step fixed point iteration scheme for asymptotically nonexpansive mappings, Appl. Math. Comput. 181 (2006) 1026-1034]. (c) 2007 Elsevier Inc. All rights reserved.
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页码：1472 / 1478
页数：7
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