2个有限渐近非扩张半群族的迭代序列的强收敛定理  

Strong Convergence Theorems on an Iteration Sequence for Two Finite Family of Asymptotically Nonexpansive Semigroups

作　　者：徐丹宁[1] 邓缨函[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123-128,共6页Journal of Southwest University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(10771173)

摘　　要：对希尔伯特空间中的2个有限渐近非扩张半群族引入了迭代序列,证明了这个迭代序列强收敛于这2个有限渐近非扩张半群族上的公共不动点.The aim of this paper is to introduce an iteration sequence for two finite families of asymptotically nonexpansive semigroups in a Hilbert space.Moreover,it proves that the iteration sequence converges strongly to the common fixed point of the two finite families of asymptotically nonexpansive semigroups.The results extend some corresponding results.

关 键 词：迭代序列 有限渐近非扩张半群族 公共不动点 

分 类 号：O177.91[理学—数学]