ITERATIVE CONSTRUCTION OF FIXED POINTS OF NEARLY ASYMPTOTICALLY NONEXPANSIVE MAPPINGS

被引：0
|
作者：
Agarwal, R. P. [1 ]
O'Regan, Donal [2 ]
Sahu, D. R. [3 ]
机构：
[1] Florida Inst Technol, Dept Math Sci, Melbourne, FL 32901 USA
[2] Natl Univ Ireland Galway, Dept Math, Galway, Ireland
[3] Shri Shankaracharya Coll Engn & Technol, Dept Appl Math, Junwani 490020, Bhilai, India
来源：
JOURNAL OF NONLINEAR AND CONVEX ANALYSIS | 2007年 / 8卷 / 01期
关键词：
Asymptotic regularity; asymptotically nonexpansive mapping; Mann iteration; nearly Lipschitzian mapping;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we introduce a new iteration process whose rate of convergence is similar to the Picard iteration process and faster than other fixed point iteration processes. We then apply it to deal with the problem of approximation of fixed points of nearly asymptotically nonexpansive mappings. Our iteration process is independent from Mann [Proc. Amer. Math. Soc. 4 (1953); 506-610] and Ishikawa [Proc. Amer. Math. Soc. 4 (1974), 147-150] iteration processes.
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页码：61 / 79
页数：19
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