一致L-Lipschitz的渐近伪压缩映象不动点的迭代逼近  

Iterative Approximation Problem of Fixed Points for Uniformly L-Lipschitz Asymptotically Pseudocontractive Mappings

作　　者：王绍荣[1] 何彩香[1] 杨泽恒[1] 熊明[1] 

机构地区：[1]大理学院数学与计算机学院,大理671000

出　　处：《工程数学学报》2012年第6期852-858,共7页Chinese Journal of Engineering Mathematics

基　　金：云南省自然科学基金(2006A0089M)~~

摘　　要：本文在任意实的Banach空间中研究了用具误差的修正的Ishikawa与Mann迭代程序来逼近一致L-Lipschitz的渐近伪压缩映象不动点的强收敛性问题.在去掉有关文献的较强条件的情况下,证明了相关结果仍然成立.所得结果不但改进和推广了一些文献的相关结果,而且也改进了定理的证明方法;也使定理的应用范围更为广泛.In an arbitrary real Banach space, we study the strong convergence problem on approx- imating fixed points of uniformly L-lipschitz asymptotically pseudocontractive mappings by modified Ishikawa and Mann iterative sequences with errors. We proved that, without some strong assumptions, the existing relevant results are still true. Our results improve and extend some recent results, as well as their argumentation methods. Moreover, the application range of our theorems is broader than that of existing theorems.

关 键 词：一致L-Lipschitz的渐近伪压缩映象 ISHIKAWA迭代序列 不动点 

分 类 号：O177.91[理学—数学]