一致L-Lipschitz的渐近伪压缩映象不动点的Ishikawa迭代逼近问题  

ITERATIVE APPROXIMATION PROBLEM OF FIXED POINTS FOR UNIFORMLY L-LIPSCHITZ AND ASYMPTOTICALLY PSEUDOCONTRACTIVE MAPPINGS

作　　者：王绍荣[1] 王彭德[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：《系统科学与数学》2010年第9期1206-1213,共8页Journal of Systems Science and Mathematical Sciences

基　　金：云南省自然科学基金(2006A0089M)资助项目

摘　　要：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,在去掉条件之下,证明了相关文献的结果仍然成立.所得结果不但改进和推广了最近一些人的最新结果,而且也从根本上改进了定理的证明方法.The purpose of this paper is to investigate the strong convergence of the modified Ishikawa and Mann iterative processes with errors for approximating fixed points of uniformly L-Lipschitz and asymptotically pseudocontractive mappings in an arbitrary real Banach space.By removing the restriction ∞∑n=0α^n〈∞,∞∑n=0αn（βn＋δn）〈∞,∞∑n=0αn（κn-1）〈∞ it is proven that the relevant results remain true.The results presented in this paper improve and extend some recent existing results.

关 键 词：一致L-Lipschitz的渐近伪压缩映象 具误差的修正的Ishikawa迭代序列 不动点 

分 类 号：O177.91[理学—数学]