Convergence of SP iterative scheme with mixed errors for accretive Lipschitzian and strongly accretive Lipschitzian operators in Banach spaces

Abstract

In this paper, we study the strong convergence of SP iterative scheme with mixed errors for the accretive Lipschitzian and strongly accretive Lipschitzian operators in Banach spaces. We show that this iterative scheme is almost stable for both types of operators. Moreover, with the help of computer programs in C++, comparison between SP, Ishikawa and Noor iterative schemes with errors is also shown for both types of operators through examples.

Keywords:

• SP iterative scheme
• stability
• accretive operators
• strongly accretive operators

2000 AMS Subject Classifications :

• 47H06
• 54H25