Viscosity approximation methods for a family of m-accretive mappings in reflexive Banach spaces

被引：19

作者：

Cho, Yeol Je ^{[1
]}

Qin, Xiaolong

机构：

[1] Gyeongsang Natl Univ, Dept Math Educ, Chinju 660701, South Korea

来源：

POSITIVITY | 2008年 / 12卷 / 03期

关键词：

accretive mapping; pseudo-contractive mapping; m-accretive mapping; reflexive Banach space; weakly continuous duality mapping;

D O I：

10.1007/s11117-007-2181-8

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The purpose of this paper is to introduce a general iterative algorithm by viscosity method to approximate a common point of a finite family of m-accretive mappings in a reflexive Banach space which has a weakly continuous duality mapping. We obtain strong convergence theorems under some mild conditions imposed on parameters.

引用

页码：483 / 494

页数：12

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