Banach空间中渐近非扩张映象的收敛性  

The Convergence for Asymptotically Nonexpansive Mappings in Banach Spaces

作　　者：郭庆义[1] 周迎春[1] 马丽蓉[1] 

机构地区：[1]康定民族师范高等专科学校数学系,四川康定626001

出　　处：《四川师范大学学报（自然科学版）》2008年第5期554-557,共4页Journal of Sichuan Normal University（Natural Science）

基　　金：四川省教育厅自然科学重点基金(2003A186)资助项目

摘　　要：在Banach空间中引入和研究渐近非扩张映象的某些类型迭代序列的收敛性,利用Banach压缩映象原理,采用误差迭代和不等式技巧,获得了Banach空间中渐近非扩张映象的相应序列强收敛的充分必要条件,其结果改进和推广了最新的一些结果.In this paper, we first introduce some iterative processes for asymptotically nonexpansive mappings in Banach spaces and then discuss the strong convergence for the iterative processes. By using Banach compression image principle and applying iterative scheme with errors and inequality technique, the necessary and sufficient conditions for the strong convergence of the iterative sequence of asymptotically nonexpansive mappings in Banach spaces are obtained. The results presented in this paper extend and improve some recent results in literature.

关 键 词：渐近非扩张映象 不动点 误差迭代 

分 类 号：O177.91[理学—数学]