On the error estimation and T-stability of the Ishikawa iteration for strongly demicontractive mappings

Abstract

Abstract In this paper, some new formula of error estimations of Ishikawa iteration and some strong convergence theorems of strongly demicontractive mappings are first obtained. And then, convergence speeds and error estimations of the Ishikawa iteration and the Mann iteration are discussed in some examples. Finally, T-stability of the Ishikawa iteration is proved.

Keywords

• Error estimation
• Ishikawa iteration
• Mann iteration
• Strongly demicontractive mappings
• T-stability