关于Browder-Petryshyn型严格伪压缩映射的复合迭代逼近方法  

Composite Iteration Approximation Methods for Strictly Pseudocontractive Mappings in Terms of Browder-Petryshyn

作　　者：何振华[1] 谷峰[2] 

机构地区：[1]云南红河学院数学系,蒙自云南661100 [2]杭州师范大学数学系,杭州310036

出　　处：《工程数学学报》2008年第5期909-913,共5页Chinese Journal of Engineering Mathematics

基　　金：浙江省自然科学基金(Y605191);黑龙江省自然科学基金(A0211);浙江省教育厅科研基金(20051897);红河学院科研启动项目(XSS07006)

摘　　要：本文通过建立新的迭代格式,采用一些分析方法和技巧,研究了迭代序列逼近有限个Browder-Petryshyn型严格伪压缩映射的公共不动点问题。在适当的条件下,证明了迭代序列强收敛到映射族的公共不动点,改进和推广了某些最新结果。Studied in this paper are some problems about iterative sequence approximating common fixed point for a family of strictly pseudocontractive mappings in the terms of Browder-Petryshyn by introducing a new iterative process and using some analysis methods and techniques. Under appropriate conditions, it is proved that the iterative sequence converge strongly to a common fixed point for the family of mappings, and some recent results are improved and generalized.

关 键 词：Browder-Petryshyn型严格伪压缩映射 公共不动点 强收敛 

分 类 号：O177.91[理学—数学]