Banach空间中带误差的修改的Ishikawa迭代程序  

Modified Ishikawa Iteration Process with Errors in Banach Spaces

作　　者：曾六川[1] 

机构地区：[1]上海师范大学数学系,上海200234

出　　处：《数学学报（中文版）》2004年第2期219-228,共10页Acta Mathematica Sinica：Chinese Series

基　　金：教育部高校优秀青年教师教学和科研奖励基金;上海市教委高校科技发展基金;科委重大项目基金(部分)资助;上海市曙光计划基金资助项目

摘　　要：本文研究在任意的实Banach空间中用带误差的修改的Ishikawa迭代序列来逼近一致Lipschitz的渐近伪压缩映象的不动点的问题.在去掉限制limn→∞βn=0之下,证明了张石生教授的结果(见文[1])仍真.另一方面,也把他的结果推广到了带误差的修改的Ishikawa迭代序列的情形.The purpose of this paper is to investigate the problem of approximating to the fixed points of uniformly Lipschitzian asymptotically pseudocontractive mappings in an arbitrary real Banach space by the modified Ishikawa iterative sequences with errors. Under the condition of removing the restriction limn→∞βn = 0 we prove that Professor Zhang Shisheng's results (Acta Math. Appl. Sinica, 2001, 24 (2): 236-241) remain true. On the other hand, we also extend his results to the case of the modified Ishikawa iterative sequences with errors.

关 键 词：渐近伪压缩映象 渐近非扩张映象 带误差的修改的Ishikawa迭代序列 

分 类 号：O177.91[理学—数学]