Strong convergence of an new iterative method for a zero of accretive operator and nonexpansive mapping

被引：1
|
作者：
Wen, Meng [1 ]
Hu, Changsong [1 ]
机构：
[1] Hubei Normal Univ, Dept Math, Huangshi 435002, Peoples R China
来源：
FIXED POINT THEORY AND APPLICATIONS | 2012年
关键词：
MKC; accretive operators; the resolvent operator; iterative method; weakly continuous duality map; BANACH-SPACES; FIXED-POINTS; ALGORITHMS;
D O I：
10.1186/1687-1812-2012-98
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Let E be a Banach space and A an m-accretive operator with a zero. Consider the iterative method that generates the sequence {x (n) } by the algorithm , where {a (n) } and {r (n) } are two sequences satisfying certain conditions, denotes the resolvent (I + r (n) A)(-1) for r (n) > 0, F be a strongly positive bounded linear operator on E is , and I center dot be a MKC on E. Strong convergence of the algorithm {x (n) } is proved assuming E either has a weakly continuous duality map or is uniformly smooth. MSC: 47H09; 47H10.
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页码：1 / 13
页数：13
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