Banach空间中非扩张映象的Ishikawa迭代序列的稳定性  

Stability of Ishikawa Iterative Sequence Invilving Nonexpansive Mappings in Banach Spaces

作　　者：李伦[1] 陈友军[1] 李军[1] 

机构地区：[1]西华师范大学数学与信息学院,四川南充637002

出　　处：《四川理工学院学报（自然科学版）》2007年第1期31-34,共4页Journal of Sichuan University of Science & Engineering(Natural Science Edition)

摘　　要：文章在Banach空间讨论了一对非扩张映象的Ishikawa迭代序列的稳定性,得到了收敛于一对非扩张映象的公共不动点的充分必要条件。The stability of Ishikawa iterative sequence for a couple of nonexpansive mappings in Banach spaces is discussed in the paper, and the sufficient and necessary condition of its approximating common fixed point are also gained.

关 键 词：ISHIKAWA迭代序列 非扩张映象 稳定性 不动点 BANACH空间 

分 类 号：O177.91[理学—数学]