Banach空间中渐近非扩张非自身映射带误差Noor迭代的收敛性定理(英文)  

Convergence Theorems for Noor Iterations with Errors of Asymptotically Nonexpansive Nonself Mappings in Banach Spaces

作　　者：黄强联[1] 胡燕[1] 高双云[1] 

机构地区：[1]扬州大学数学科学学院,江苏扬州225002

出　　处：《应用数学》2011年第3期540-547,共8页Mathematica Applicata

基　　金：Supported by the National Science Foundation of China(10971182);the Natural Science Foundation of Jiangsu Province(BK2009179,BK2010309);the Tianyuan Youth Foundation(11026115);the Natural Science Foundation of Jiangsu Education Comittee(07KJB110131,10KJB110012);the Natural Science Foundation of Yangzhou University(2009CXJ001)

摘　　要：本文主要对三个渐近非扩张非自身映射引入了一种新的投影型Noor迭代程序,并在一致凸Banach空间中给出了该Noor迭代序列的弱与强收敛性定理.我们的主要结果推广和改进了该领域许多近期的结果.In this paper, we introduce a new projection type Noor iterative scheme for three asymptotically nonexpansive nonself mappings. Weak and strong convergence theorems are established for this new Noor iterative scheme in a uniformly convex Banach space. The results obtained in this paper extend and improve many recent results in this area.

关 键 词：渐近非扩张非自身映射 Kadec—Klee性质 OPIAL条件 一致凸BANACH空间 公共不动点 

分 类 号：O177.91[理学—数学]