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

被引：0
|
作者：
Rabian Wangkeeree
Pakkapon Preechasilp
机构：
[1] Naresuan University,Department of Mathematics, Faculty of Science
[2] Centre of Excellence in Mathematics,undefined
[3] CHE,undefined
来源：
Journal of Inequalities and Applications | / 2013卷 / 1期
关键词：
Banach Space; Variational Inequality; Convex Subset; Nonexpansive Mapping; Duality Mapping;
D O I：
暂无
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学科分类号：
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 Gâteaux differentiable norm and admits the duality mapping jφ and uniform normal structure. The main result extends various results existing in the current literature.
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