增生算子方程的具误差的Ishikawa迭代序列的收敛率估计  

Conrergence Rate Estimate of Ishikawa Iteration Mathod with Errors for Equations Involving Accrative Operators

作　　者：王绍荣[1] 杨泽恒[1] 

机构地区：[1]大理学院数学系,云南大理671000

出　　处：《工程数学学报》2004年第6期967-972,共6页Chinese Journal of Engineering Mathematics

基　　金：大理学院科研基金资助项目(2002X42).

摘　　要：设 X 是一实的 Banach 空间,T : X → X 是一 Lipschitz 的增生算子。本文证明了具误差 的 Ishikawa 迭代序列强收敛到方程 x + Tx = f 的唯一解;并得一个一般的收敛估计式。 若 T : X → X 是一 Lipschitz 的强增生算子,则具误差的 Ishikawa 迭代序列强收敛到方 程 Tx = f 的唯一解。本文结果推广和发展了现有的相应结果。Let X be an arbitrary real Banach spaces and be a Lipschitz accretive operator. It is shown that the Ishikawa iterative sequence with errors converges strongly to the unique solution of the equstion. Moreover, our result provides a general convergence rate estimate for such a sequence. Utilizing this result, we imply that if be a Lipschitz strongly accretive operator. Then the Ishikawa iterative sequence with errors converges strongly to the unique solution of the equation. 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Ishikmva迭代序列 收敛率估计 

分 类 号：O177.91[理学—数学]