一类Φ-强增生算子带误差项Ishikawa的迭代序列的收敛性  

The Convergence Theorems of Some Ishikawa Iterative Sequences with Errors Involving Φ-strongly Accretive Operators

作　　者：孔彪[1] 何中全[1] 

机构地区：[1]西华师范大学数学与信息学院,四川南充637009

出　　处：《西华师范大学学报（自然科学版）》2009年第4期383-387,共5页Journal of China West Normal University(Natural Sciences)

基　　金：四川省教育厅重点课题基金资助项目(07ZA123)

摘　　要：在光滑的Banach空间中引入了Φ-强增生的和Φ-强伪压缩的集值映像,给出了新的带误差项的Ishikawa迭代序列,并证明了它的收敛性.本文的工作将本领域的一些最新的成果做了更好的推广.In this paper, a new class of Ishikawa iterative sequences with errors involving Ф-strong ly accretive operators and Ф-strongly pseudo-contrative mappings is introduced in smooth Banach spaces. The convergence of some new Ishikawa iterative sequences with errors is proved. The result presented in this paper has improved and extended some recent results.

关 键 词：集值映像 强收敛 ISHIKAWA迭代 MANN迭代 Φ-强增生 Φ-强伪压缩 

分 类 号：O178[理学—数学]