非Lipschitz渐近伪压缩映象不动点的迭代逼近  

Iterative Approximations of Fixed Points for Non-Lipschitzian Asymptotically Pseudocontractive Mappings

作　　者：王绍荣[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,云南大理671000

出　　处：《应用数学》2012年第1期214-219,共6页Mathematica Applicata

基　　金：云南省自然科学基金资助项目(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迭代程序来逼近非Lipschitz的渐近伪压缩映象不动点的强收敛性问题;在去掉条件"‖Tnxn-xn‖→0(n→∞)"及"{xn}有界"之下,证明了相关文献的结果仍然成立.所得结果改进和推广了最近一些人的最新结果.The purpose of this paper is to investigate the strong convergence problem of the modified Ishikawa and Mann iterative processes with errors for approximating fixed points of non-Lipschitzian asymptotically pseudocontractive mappings in an arbitrary real Banaeh space. Under the condition of removing the restriction＂ ｜｜ Tnxn-xn｜｜→ 0（n→∞） ＂and ＂ { xn } is bounded＂ ,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：渐近伪压缩映象 渐近非扩张映象 ISHIKAWA迭代序列 不动点 

分 类 号：O177.91[理学—数学]