Convergence Theorems Of An Iteration Process For Asymptotically Pseudocontractive Mappings

The purpose of this paper is to study the convergence theorems of Ishikawa iterations for Asymptotically demi-contractive mappings. After giving the definition of Ishikawa iteration process, we discuss the Ishikawa iteration both with errors and without errors, respectively, and gain a series of character of list generated from Ishikawa iteration for uniformly L-Lipschiz asymptotical demi-contractive mappings in Banach space. According to these character, we can choose a more simple iteration methord to calculate.