φ-强增生算子方程解的Noor三步迭代收敛率的估计  

Convergence Rate Estimate of Noor Three-step Iterative for φ-Strongly Accretive Operator Equations

作　　者：李丹[1] 丛培根 张树义[1] LI Dan CONG Peigen ZHANG Shuyi(School of Mathematics and Physics, Bohai University,Jinzhou 121013, China)

机构地区：[1]渤海大学数理学院,辽宁锦州121013

出　　处：《鲁东大学学报（自然科学版）》2017年第3期193-199,共7页Journal of Ludong University:Natural Science Edition

基　　金：国家自然科学基金(11371070)

摘　　要：使用分析的技巧,在实Banach空间中研究了φ-强增生算子方程解的带误差的Noor三步迭代逼近问题.在一定条件下,建立了φ-强增生算子方程解的带误差的Noor三步迭代的收敛性与稳定性定理,并且提供了更为一般的收敛率的估计.By using analsis techniques, approximation problem of Noor three-step iterative sequence with errors for the equation with a Lipsehitz φ-strongly accretive operators was studied in arbitrary real Banach spaces. Convergence and stability theorems of Noor three-step iterative sequence with errors for equation with a Lipschitz φ-strongly accretive operators were established under the certain conditions, and a general convergence rate estimate was also given in our results.

关 键 词：Φ-强增生算子 收敛率的估计 Noor三步迭代序列 几乎T-稳定 

分 类 号：O177.91[理学—数学]