Strong convergence theorems for three-steps iterations for asymptotically nonexpansive mappings in Banach spaces

被引：0
作者：
An, Cui Yun [1 ]
Fei, Zuo Zhan [2 ]
Hudzik, Henryk [3 ]
机构：
[1] Harbin Univ Sci & Technol, Dept Math, Harbin 150080, Peoples R China
[2] Chongqing Three Gorges Univ, Dept Math & Stat, Wanzhou 404000, Peoples R China
[3] Adam Mickiewicz Univ, Fac Math & Comp Sci, PL-61614 Poznan, Poland
来源：
FIXED POINT THEORY AND APPLICATIONS | 2013年
关键词：
asymptotically nonexpansive mapping; three-steps iteration; fixed points; uniformly Gateaux differentiable norm;
D O I：
10.1186/1687-1812-2013-150
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider the problem of the convergence of the three-steps iterative sequences for asymptotically nonexpansive mappings in a real Banach space. Under suitable conditions, it has been proved that the iterative sequence converges strongly to a fixed point, which is also a solution of certain variational inequality. The results presented in this paper extend and improve some recent results.
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页数：11
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