Convergence of Iterative Sequences for Common Zero Points of a Family of m-Accretive Mappings in Banach Spaces

被引：4

作者：

Qing, Yuan ^{[2
]}

Cho, Sun Young ^{[1
]}

Qin, Xiaolong ^{[2
]}

机构：

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

[2] Hangzhou Normal Univ, Dept Math, Hangzhou 310036, Zhejiang, Peoples R China

来源：

FIXED POINT THEORY AND APPLICATIONS | 2011年

关键词：

VISCOSITY APPROXIMATION METHODS; ASYMPTOTICALLY NONEXPANSIVE-MAPPINGS; FIXED-POINTS; NONLINEAR OPERATORS; FINITE FAMILY; THEOREMS; CONVEX;

D O I：

10.1155/2011/216173

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We introduce implicit and explicit viscosity iterative algorithms for a finite family of m-accretive operators. Strong convergence theorems of the iterative algorithms are established in a reflexive Banach space which has a weakly continuous duality map.

引用

页数：12

共 50 条

[1] Convergence of Iterative Sequences for Common Zero Points of a Family of [inline-graphic not available: see fulltext]-Accretive Mappings in Banach Spaces
Yuan Qing
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[J]. Fixed Point Theory and Applications, 2011
[2] Path Convergence and Approximation of Common Zeroes of a Finite Family of m-Accretive Mappings in Banach Spaces
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[J]. ABSTRACT AND APPLIED ANALYSIS, 2010,
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[10] STRONG CONVERGENCE THEOREM FOR FINITE FAMILY OF m-ACCRETIVE OPERATORS IN BANACH SPACES
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