On Mann iteration in Hilbert spaces

被引：26
作者：
Rafiq, Arif [1 ]
机构：
[1] COMSATS Inst Informat Technol, Islamabad, Pakistan
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2007年 / 66卷 / 10期
关键词：
Hilbert space; Mann iteration; pseudocontractive maps;
D O I：
10.1016/j.na.2006.03.012
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Let K be a compact convex subset of a real Hilbert space H; T : K -> K a hemicontractive map. Let {alpha(n)}be a real sequence in [0, 1] satisfying appropriate conditions; then for arbitrary X-0 is an element of K, the sequence {x(n)} defined iteratively by x(n) = alpha(n)x(n-1) + (1 - alpha(n)) Tx(n), n >= 1 converges strongly to a fixed point of T. (c) 2006 Elsevier Ltd. All rights reserved.
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收藏
页码：2230 / 2236
页数：7
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