On the Error Estimation of the Ishikawa Iteration Process and Data Dependence for Strongly Demicontractive Mappings in Hilbert Spaces
Received:August 22, 2021  Revised:September 07, 2021
Key Word: Ishikawa iteration, Error estimation, Strongly demicontractive mappings, Data dependency  
Fund ProjectL:The Major Program of the Chinese Academy of Sciences
Author NameAffiliationAddress
Chao Wang Nanjing University of Information Science &
Technology 
南京信息工程大学 数学与统计学院
Honglei Fan Nanjing University of Information Science &
Technology 
南京信息工程大学 数学与统计学院
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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 dependency results for SDC mappings in three cases. Numerical examples are given to verify our results.
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