Hilbert空间中强半压缩算子的Ishikawa迭代的误差估计和数据依赖

On the Error Estimation of the Ishikawa Iteration Process and Data Dependence for Strongly Demicontractive Mappings in Hilbert Spaces

中文关键词:  Ishikawa迭代  误差估计  强半压缩算子  数据依赖性

英文关键词:Ishikawa iteration  error estimation  strongly demicontractive mappings  data dependence

中文摘要:

      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.

英文摘要:

      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.