渐近非扩张型映象具有误差的迭代收敛性  

Iterative convergence with errors for asymptotically nonexpansive type mappings

作　　者：林媛[1] 张树义[1] 丛培根 

机构地区：[1]渤海大学数理学院,辽宁锦州121013

出　　处：《石河子大学学报（自然科学版）》2017年第4期513-517,共5页Journal of Shihezi University(Natural Science)

基　　金：国家自然科学基金项目(11371070)

摘　　要：本文研究目的是在范数是一致Gateaux可微的Banach空间框架下,研究渐近非扩张型映象具有误差的迭代序列的收敛性,在没有任何有界条件下,使用新的分析技巧建立了具有误差的迭代序列的强收敛定理,最终从多方面推广和改进了有关文献中的结果。The purpose of this paper is to study convergence of iterative sequences with errors for asymptotically nonexpansivetype mapping in Banach space with a uniformly Gateaux differentiable norm and establish strong convergence theorems of iterativesequences with errors for asymptotically nonexpansive type mapping without any bounded assumption by using a new analyticalmethod. The results obtained in this paper extend and improve the corresponding results in some references from many aspects.

关 键 词：-致Gateaux可微 渐近非扩张型映象 具有误差的迭代序列 不动点 

分 类 号：O177.91[理学—数学]