摘要
LiuQihou提出了度量空间中带有误差的迭代序列的定义,并研究了迭代序列的收敛性。严格分析了完备度量空间中带有误差的两类广义压缩映射迭代序列的收敛速度,得到了迭代序列收敛阶的最佳估计,这些结果在近似计算中可用于估计不动点的大致范围以及根据精度要求确定迭代次数。
Liu Qihou offered the definition of iterative sequence with error in metric space and proved the convergence of iterative sequence. In this paper, we mainly study the rate of convergence for the extended contraction mapping iterative sequences with errors in complete metric space. The optimal estimate for the order of convergence is obtained. This conclusion is useful in approximate computation.
出处
《中国民航学院学报》
2006年第3期48-51,共4页
Journal of Civil Aviation University of China
基金
中国民用航空总局教育研究基金项目(01-3-01)
关键词
带有误差的迭代序列
度量空间
广义压缩映射
不动点
收敛阶
iterative sequence with error
metric space
extended contraction mapping
fixed-point
order of convergence
