有限族渐近非扩张映射的具误差的显迭代程序的强与弱收敛性  

Strong and Weak Convergence of an Explicit Iterative Process with Errors for a Finite Family of Asymptotically Nonexpansive Mappings

作　　者：郝彦[1] 

机构地区：[1]浙江海洋学院数理与信息学院,浙江舟山316004

出　　处：《数学的实践与认识》2008年第15期197-206,共10页Mathematics in Practice and Theory

基　　金：浙江省教育厅科研项目(20070926)

摘　　要：在Banach空间中,讨论有限族渐近非扩张映射和非扩张映射的具有误差项的显迭代格式的强收敛和弱收敛性,其结果推广和改进了相关结果.The purpose of this paper is to study the strong and weak convergence of an explicit iterative process with errors to a common fixed point for a finite family of asymptotically nonexpansive mappings and nonexpansive mappings in Banach spaces. The results presented in this paper extend and improve the corresponding results.

关 键 词：渐近非扩张映射 非扩张映射 关于映射族的带误差显迭代序列 公共不动点 OPIAL条件 半闭原理 半紧性 

分 类 号：O177.91[理学—数学] O211.4[理学—基础数学]