Hilbert空间中强半压缩算子迭代序列的误差估计及稳定性分析  

The Error Estimation and Stability Analysis of the Iterative Sequence for Strongly Demicontractive Mappings in Hilbert Spaces

作　　者：范红磊 王朝[1] FAN Honglei;WANG Chao(School of Mathematics and Statistics,Nanjing University of Information Science and Technology,Nanjing 210044,China)

机构地区：[1]南京信息工程大学数学与统计学院,江苏南京210044

出　　处：《应用数学》2022年第1期71-80,共10页Mathematica Applicata

基　　金：国家自然科学基金面上项目(61573192)。

摘　　要：在实Hilbert空间中,本文讨论强半压缩算子下的迭代序列的误差估计式和强收敛定理,并举例与已有迭代序列的误差估计式进行对比.进一步地,分析该迭代序列的稳定性.我们的结果推广了许多已知结论.In this paper, some formula of error estimations of an iterative sequence and some strong convergence theorems of strongly demicontractive mappings are discussed in Hilbert spaces. Some numerical examples are also given to compare with the error estimation of some known iteration sequences.Moreover, the stability of the iterative sequence is analyzed. Our results extended many known results.

关 键 词：强半压缩算子 误差估计 强收敛定理 稳定性 

分 类 号：O177.91[理学—数学]