Strong convergence theorems for nonexpansive semi-groups in Banach spaces  

作　　者：张石生 杨莉 柳京爱 

机构地区：[1]Department of Mathematics,Yibin University,Yibin 644007,Sichuan Province,P.R.China [2]Department of Mathematics,South West University of Science and Technology,Mianyang 621002,Sichuan Province,P.R.China [3]Department of Mathematics,Yanbian University,Yanji 133002,Jilin Province,P.R.China

出　　处：《Applied Mathematics and Mechanics(English Edition)》2007年第10期1287-1297,共11页应用数学和力学（英文版）

基　　金：Project supported by the Natural Science Foundation of Sichuan Province of China(No.2005A132)

摘　　要：Some strong convergence theorems of explicit composite iteration scheme for nonexpansive semi-groups in the framework of Banach spaces are established. Results presented in the paper not only extend and improve the corresponding results of ShiojiTakahashi, Suzuki, Xu and Aleyner-Reich, but also give a partially affirmative answer to the open questions raised by Suzuki and Xu.Some strong convergence theorems of explicit composite iteration scheme for nonexpansive semi-groups in the framework of Banach spaces are established. Results presented in the paper not only extend and improve the corresponding results of ShiojiTakahashi, Suzuki, Xu and Aleyner-Reich, but also give a partially affirmative answer to the open questions raised by Suzuki and Xu.

关 键 词：nonexpansive semi-group demi-closed principle common fixed point uni-formly smooth Banach space weakly continuous normalized duality mapping 

分 类 号：O152[理学—数学]