The modified general iterative methods for asymptotically nonexpansive semigroups in Banach spaces

被引：0
|
作者：
Wangkeeree, Rabian [1 ,2 ]
Preechasilp, Pakkapon [1 ]
机构：
[1] Naresuan Univ, Fac Sci, Dept Math, Phitsanulok 65000, Thailand
[2] CHE, Ctr Excellence Math, Bangkok 10400, Thailand
来源：
JOURNAL OF INEQUALITIES AND APPLICATIONS | 2013年
关键词：
STRONG-CONVERGENCE THEOREMS; FIXED-POINT SOLUTIONS; VARIATIONAL-INEQUALITIES; MAPPINGS; APPROXIMATION; RESOLVENTS; OPERATORS;
D O I：
10.1186/1029-242X-2013-223
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we introduce the modified general iterative methods for finding a common fixed point of asymptotically nonexpansive semigroups, which is a unique solution of some variational inequality. We prove the strong convergence theorems of such iterative scheme in a real Banach space which has a uniformly GA cent teaux differentiable norm and admits the duality mapping and uniform normal structure. The main result extends various results existing in the current literature.
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页数：19
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