CONVERGENCE THEOREMS ON VISCOSITY APPROXIMATION METHODS FOR FINITE NONEXPANSIVE MAPPINGS IN BANACH SPACES

被引：0

作者：

Jung, Jong Soo ^{[1
]}

机构：

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

来源：

JOURNAL OF THE KOREAN SOCIETY OF MATHEMATICAL EDUCATION SERIES B-PURE AND APPLIED MATHEMATICS | 2009年 / 16卷 / 01期

关键词：

Mann iteration; viscosity approximation method; nonexpansive mapping; common fixed points; contraction; uniformly Gateaux differentiable norm; variational inequality;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Strong convergence theorems on viscosity approximation methods for finite nonexpansive mappings are established in Banach spaces. The main theorem generalize the corresponding result of Kim and Xu [10] to the viscosity approximation method for finite nonexpansive mappings in a reflexive Banach space having a uniformly Gdteaux differentiable norm. Our results also improve the corresponding results of [7, 8, 19, 20].

引用

页码：85 / 98

页数：14

共 20 条

[1]

Byne C, 2004, INVERSE PROBL, V20, P103

[2] Iterative approximations of fixed points and solutions for strongly accretive and strongly pseudo-contractive mappings in Banach spaces [J].