Asymptotically Nonexpansive Mappings In Several Types Of Iterative Sequence Of Strong Convergence

A new viscosity three-step iterative method for the fixed points of asymptotic no-expansive mappings is given in uniformly convex Banach spaces. A strongly conver-gent theorem for this kind of iterative sequences is proved. The re-sults in the present paper extend some resent results of other authors.In the first chapter, we discuss some related research background, and give some basic concepts and main results.In the second chapter, we introduce some relevant knowledge, some basic concepts and notations.In the third chapter, we give proof of the theorem.In the fourth chapter, we discuss the convergence of the three-step iterative se-quence with errors.