Approximating zero points of accretive operators by an implicit iterative sequences in Banach spaces

被引：0
|
作者：
Atslushiba, Sachiko [1 ]
机构：
[1] Shibaura Inst Technol, Dept Math, Minama Ku, Saitama 3378570, Japan
来源：
TAIWANESE JOURNAL OF MATHEMATICS | 2007年 / 11卷 / 03期
关键词：
accretive operator; resolvent; iteration; weak convergence; strong convergence; solution; fixed point; zero point;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we introduce an implicit iterative sequence to approximate zero points of accretive operators in Banach spaces and then prove weak convergence theorems for resolvents of accretive operators in Banach spaces satisfying Opial's condition. Further, we discuss the strong convergence of the iterative sequences for resolvents of accretive operators with compact domains in general Banach spaces. Using these results, we consider the variational inequality problem of finding a solution of a variational inequality.
引用
收藏
页码：807 / 818
页数：12
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