A Generalized Proximal Point Algorithm and Implicit Iterative Schemes for a Sequence of Operators on Banach Spaces

被引：8

作者：

Kimura, Yasunori ^{[1
]}

Takahashi, Wataru ^{[1
]}

机构：

[1] Tokyo Inst Technol, Dept Math & Comp Sci, Tokyo 1528552, Japan

来源：

SET-VALUED ANALYSIS | 2008年 / 16卷 / 5-6期

关键词：

Accretive operator; Resolvent; M-accretive operator; Iteration; Weak convergence; Yosida approximation; Nonexpansive mapping; Implicit iterative scheme; Common fixed point; W-mapping;

D O I：

10.1007/s11228-007-0064-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The aim of this paper is to obtain weak convergence of an iterative scheme generated by a sequence of accretive operators defined on a real Banach space, which is a generalization of the result given by Kamimura and Takahashi (J. Approx. Theory 106: 226-240, 2000). We also show several applications to the implicit iterative schemes with the Yosida approximations and with the W-mappings generated by a sequence of nonexpansive mappings.

引用

页码：597 / 619

页数：23

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