Convergence theorems for nonself asymptotically nonexpansive mappings

被引：27
|
作者：
Khan, Safeer Hussain [2 ]
Hussain, Nawab [1 ]
机构：
[1] King Abdulaziz Univ, Dept Math, Jeddah 21589, Saudi Arabia
[2] Qatar Univ, Dept Math & Phys, Doha 2713, Qatar
来源：
COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2008年 / 55卷 / 11期
关键词：
nonself asymptotically nonexpansive mappings; strong convergence; weak convergence; modified iterative process;
D O I：
10.1016/j.camwa.2007.10.007
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we prove some strong and weak convergence theorems using a modified iterative process for nonself asymptotically nonexpansive mappings in a uniformly convex Banach space. This will improve and generalize the corresponding results in the existing literature. Finally, we will state that our theorems can be generalized to the case of finitely many mappings. (C) 2007 Elsevier Ltd. All rights reserved.
引用
收藏
页码：2544 / 2553
页数：10
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