Strong convergence for solving a general system of variational inequalities and fixed point problems in Banach spaces

被引：4
|
作者：
Ceng, Lu-Chuan [1 ,2 ]
Hussain, Nawab [3 ]
Latif, Abdul [3 ]
Yao, Jen-Chih [3 ,4 ]
机构：
[1] Shanghai Univ, Dept Math, Shanghai 200234, Peoples R China
[2] Shanghai Univ, Sci Comp Key Lab, Shanghai 200234, Peoples R China
[3] King Abdulaziz Univ, Dept Math, Jeddah 21589, Saudi Arabia
[4] Kaohsiung Med Univ, Ctr Fundamental Sci, Kaohsiung 807, Taiwan
来源：
JOURNAL OF INEQUALITIES AND APPLICATIONS | 2013年
基金：
美国国家科学基金会;
关键词：
general system of variational inequalities; hybrid viscosity approximation method; nonexpansive mapping; sunny nonexpansive retraction; fixed point; uniformly G teaux differentiable norm; uniform convexity; NONEXPANSIVE-MAPPINGS; EXTRAGRADIENT METHOD; WEAK-CONVERGENCE; ITERATIVE METHOD; ACCRETIVE-OPERATORS; SPLIT FEASIBILITY; THEOREMS; APPROXIMATION; ALGORITHMS; SEQUENCES;
D O I：
10.1186/1029-242X-2013-334
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we propose and analyze some iterative algorithms by hybrid viscosity approximation methods for solving a general system of variational inequalities and a common fixed point problem of an infinite family of nonexpansive mappings in a uniformly convex Banach space which has a uniformly Gateaux differentiable norm, and we prove some strong convergence theorems under appropriate conditions. The results presented in this paper improve, extend, supplement and develop the corresponding results recently obtained in the literature.
引用
收藏
页数：44
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