关于增生算子方程的具误差的Ishikawa迭代序列的收敛率估计  

Convergence Rate Estimate of Ishikawa Iteration Method with Errors for Equations Involving Accretive Operators

作　　者：王绍荣[1] 熊明[1] 

机构地区：[1]大理学院数学与计算机学院,云南大理671000

出　　处：《应用泛函分析学报》2009年第2期112-117,共6页Acta Analysis Functionalis Applicata

基　　金：云南省自然科学基金(2006A0089M)

摘　　要：设X是一实的Banach空间,T:X→X是一Lipschitz的增生算子;证明了具误差的Ishikawa迭代序列强收敛到x+Tx=f的唯一解;得到一个一般的收敛率估计式.进一步得到:若T:X→X是一Lipschitz的强增生算子,则具误差的Ishikawa迭代序列强收敛到Tx=f的唯一解.文中结果推广和发展了已有的相关结果.Let X be an arbitrary real Banach spaces and T..X → X be a Lipschitz accretive operator. It is shown that the Ishikawa iterative sequence with errors converges strongly to the unique solution of the equation x ＋Tx = f. Moreover, our result provides a general convergence rate estimate for such a sequence . Utilizing this result, we imply that if T..X → X be a Lipschitz strongly accretive operator. Then the Ishikawa iterative sequence with errors converges strongly to the unique solution of the equation Tx = f. The results presented in this paper extend and improve the recent corresponding results

关 键 词：实BANACH空间 增生算子 具误差的Ishikawa迭代序列 收敛率估计 

分 类 号：O177.91[理学—数学]