| Hilbert空间中强半压缩算子的Ishikawa迭代的误差估计和数据依赖 |
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| 引用本文： | 王朝,范红磊. Hilbert空间中强半压缩算子的Ishikawa迭代的误差估计和数据依赖[J]. 数学研究及应用, 2022, 42(5): 511-522 |
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| 作者姓名： | 王朝 范红磊 |
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| 作者单位： | 南京信息工程大学数学与统计学院, 江苏 南京 210044 |
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| 基金项目： | 国家自然科学基金(Grant No.61573192). |
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| 摘 要： | 本文我们考虑了实Hilbert空间中强半压缩(SDC)算子的Ishikawa迭代的误差估计(不需要Lipschitz条件),同时得到了Ishikawa迭代的一些收敛性定理.此外,我们在三种情况下给出了SDC算子的数据依赖性结果.一些数值算例验证了我们的结果.
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| 关 键 词： | Ishikawa迭代 误差估计 强半压缩算子 数据依赖性 |
| 收稿时间： | 2021-08-22 |
| 修稿时间： | 2021-12-23 |
On the Error Estimation of the Ishikawa Iteration Process and Data Dependence for Strongly Demicontractive Mappings in Hilbert Spaces |
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| Chao WANG,Honglei FAN. On the Error Estimation of the Ishikawa Iteration Process and Data Dependence for Strongly Demicontractive Mappings in Hilbert Spaces[J]. Journal of Mathematical Research with Applications, 2022, 42(5): 511-522 |
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| Authors: | Chao WANG Honglei FAN |
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| Affiliation: | School of Mathematics and Statistics, Nanjing University of Information Science and Technology, Jiangsu 210044, P. R. China |
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| Abstract: | In this paper, we consider the error estimation of the Ishikawa iteration process for strongly demicontractive (SDC) mappings in real Hilbert spaces (without the Lipschitz condition), some convergence theorems of the Ishikawa iteration process are also obtained. Moreover, we provide data dependence results for SDC mappings in three cases. Some numerical examples are given to verify our results. |
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| Keywords: | Ishikawa iteration error estimation strongly demicontractive mappings data dependence |
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