2个有限渐近非扩张映射族的迭代序列的强收敛性  

Strong Convergence of Iteration Sequence for Two Finite Families of Asymptotically Nonexpansive Mappings

作　　者：王莹[1] 邓璎函[2] 

机构地区：[1]西南大学数学与统计学院,重庆400715 [2]西南财经大学金融学院,成都611130

出　　处：《西南大学学报（自然科学版）》2011年第8期129-133,共5页Journal of Southwest University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(11071198)

摘　　要：在希尔伯特空间中对2个有限渐近非扩张映射族引入了新的修正的Mann迭代序列,并证明了该迭代序列强收敛于这2个有限渐近非扩张映射族的公共不动点.In this paper,a new modified Mann＇s iteration squence for two finite families of asymptotically nonexpansive mappings in a Hilbert space is studied.And it is proved that the iteration sequence converges strongly to a common fixed point of the families.

关 键 词：强收敛性 修正Mann迭代序列 渐近非扩张映射 

分 类 号：O177.91[理学—数学]