Strong Convergence of Iterative Schemes for Zeros of Accretive Operators in Reflexive Banach Spaces

被引：5

作者：

Jung, Jong Soo ^{[1
]}

机构：

[1] Dong A Univ, Dept Math, Pusan 604714, South Korea

来源：

FIXED POINT THEORY AND APPLICATIONS | 2010年

关键词：

VISCOSITY APPROXIMATION METHODS; NONEXPANSIVE-MAPPINGS; MONOTONE-OPERATORS; INFINITE PRODUCTS; FIXED-POINTS; THEOREMS; FAMILY; RESOLVENTS;

D O I：

10.1155/2010/103465

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We introduce composite iterative schemes by the viscosity iteration method for finding a zero of an accretive operator in reflexive Banach spaces. Then, under certain differen control conditions, we establish strong convergence theorems on the composite iterative schemes. The main theorems improve and develop the recent corresponding results of Aoyama et al. (2007), Chen and Zhu (2006, 2008), Jung (2010), KimandXu (2005), Qinand Su (2007) and Xu (2006) as well as Benavides et al. (2003), Kamimura and Takahashi (2000), Mainge (2006), and Nakajo (2006).

引用

页数：19

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