On the Error Estimation of the Ishikawa Iteration Process and Data Dependence for Strongly Demicontractive Mappings in Hilbert Spaces
Received:August 22, 2021  Revised:December 23, 2021
Key Words: Ishikawa iteration   error estimation   strongly demicontractive mappings   data dependence  
Fund Project:Supported by the National Natural Science Foundation of China (Grant No.61573192).
Author NameAffiliation
Chao WANG School of Mathematics and Statistics, Nanjing University of Information Science and Technology, Jiangsu 210044, P. R. China 
Honglei FAN 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.
Citation:
DOI:10.3770/j.issn:2095-2651.2022.05.007
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