无限族非扩张映象及非扩张半群的强收敛定理  

Strong Convergence Theorems for a Faimly of Infinite Nonexpansive Mappings and Nonexpansive Semigroups

作　　者：雷贤才[1] 

机构地区：[1]宜宾学院数学研究所,四川宜宾644007

出　　处：《数学的实践与认识》2014年第3期192-199,共8页Mathematics in Practice and Theory

基　　金：高等学校重点科研项目(2012S19)

摘　　要：目的是研究Banach空间中无限族非扩张映象和非扩张半群的强收敛问题.为此提出一个改进的迭代序列,在适当条件下,某些强收敛定理被证明.结果改进和推广了一些人的最新结果.The purpose of this paper is to study the strong convergence problem for a family of infinite nonexpansive mappings and nonexpansive seimgroups in Banach spaces.An improved iterative sequence is put forward,under suitable conditions some strong convergence theorems for a family of infinite nonexpansive mappings and nonexpansive semigroups in Banach spaces are proved.The results presented in the paper extend and improve the corresponding results.

关 键 词：非扩张半群 半闭原理 Sunny非扩张保核收缩 公共不动点 最近点投影 

分 类 号：O177.2[理学—数学]