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.
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页码：483 / 494
页数：12
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