摘要
该文在 Banach空间中证明了 ,带误差的 Ishikawa迭代序列强收敛到 Lipschitz连续的增生算子方程的唯一解 .而且 ,也给 Ishikawa迭代序列提供了一般的收敛率估计 .利用该结果还推得 ,带误差的 Ishikawa迭代序列也强收敛到 Lipschitz连续的强增生算子方程的唯一解 .
It is shown that the Ishikawa iterative sequence with errors converges strongly to the unique solution of the equation involving the Lipschitz continuous accretive operator in a Banach space. Moreover, our result provides a general convergence rate estimate for the Ishikawa iterative sequence. From this result, it follows that the Ishikawa iterative sequence with errors also converges strongly to the unique solution of the equation of the Lipschitz continuous strongly accretive operator.
出处
《数学物理学报（A辑）》
CSCD
北大核心
2004年第6期654-660,共7页
Acta Mathematica Scientia
基金
高等学校优秀青年教师教学和科研奖励基金
上海市高校科技发展基金 (部分 )
上海市曙光计划基金资助
