一类算子方程迭代序列的稳定性  

Stability of iterative sequences for a class of operators equation

作　　者：赵美娜[1] 张树义[1] 郑晓迪 

机构地区：[1]渤海大学数理学院,辽宁锦州121013 [2]锦州师范高等专科学校计算机系,辽宁锦州121001

出　　处：《轻工学报》2016年第6期100-108,共9页Journal of Light Industry

基　　金：国家自然科学基金项目(11371070)

摘　　要：在实Banach空间中研究Lipschitz的k-次增生算子方程x+Tx=f解的带误差的Ishikawa迭代序列稳定性问题,并给出{y_n}收敛到方程x+Tx=f的唯一解q的估计式,从而推广和改进了文献中的相应结果.Stability problems of Ishikawa iterative sequences with error for Lipschitz k-subaccretive operators equation were studied in real Banach space. A general estimate formula of the unique solution q that { yn}converged to the equation x ＋ Tx = f was given,which extended and improved the corresponding results in some references.

关 键 词：K-次增生算子 T-稳定性 带误差的Ishikawa迭代序列 

分 类 号：O177.91[理学—数学]